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Finding the Fourth Proportional to 16,385,643.80, 24,578,465.70 and 5,601,984.20

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Solution

The fourth proportional to 16,385,643.80, 24,578,465.70 and 5,601,984.20 is: 8,402,976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385,643.80 : 24,578,465.70 = 5,601,984.20 : x
  2. Step 2: Convert to fraction form
    16,385,643.80/24,578,465.70 = 5,601,984.20/x
  3. Step 3: Cross multiply
    16,385,643.80x = 24,578,465.70 × 5,601,984.20
  4. Step 4: Simplify right side
    16,385,643.80x = 137,688,176,511,641.94
  5. Step 5: Solve for x
    x = 137,688,176,511,641.94/16,385,643.80
  6. Step 6: Final answer
    x = 8,402,976.30

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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.