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Finding the Fourth Proportional to 24,482.96, 36,709.84 and 9,694

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Solution

The fourth proportional to 24,482.96, 36,709.84 and 9,694 is: 14,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,482.96 : 36,709.84 = 9,694 : x
  2. Step 2: Convert to fraction form
    24,482.96/36,709.84 = 9,694/x
  3. Step 3: Cross multiply
    24,482.96x = 36,709.84 × 9,694
  4. Step 4: Simplify right side
    24,482.96x = 355,865,188.96
  5. Step 5: Solve for x
    x = 355,865,188.96/24,482.96
  6. Step 6: Final answer
    x = 14,535.22

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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.