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Finding the Fourth Proportional to 16,482,816.80, 24,734,722.80 and 9,659,376.80

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Solution

The fourth proportional to 16,482,816.80, 24,734,722.80 and 9,659,376.80 is: 14,495,217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,482,816.80 : 24,734,722.80 = 9,659,376.80 : x
  2. Step 2: Convert to fraction form
    16,482,816.80/24,734,722.80 = 9,659,376.80/x
  3. Step 3: Cross multiply
    16,482,816.80x = 24,734,722.80 × 9,659,376.80
  4. Step 4: Simplify right side
    16,482,816.80x = 238,922,007,568,751.06
  5. Step 5: Solve for x
    x = 238,922,007,568,751.06/16,482,816.80
  6. Step 6: Final answer
    x = 14,495,217.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.