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Finding the Fourth Proportional to 16,354.62, 22,569.38 and 8,902.62

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Solution

The fourth proportional to 16,354.62, 22,569.38 and 8,902.62 is: 12,285.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,354.62 : 22,569.38 = 8,902.62 : x
  2. Step 2: Convert to fraction form
    16,354.62/22,569.38 = 8,902.62/x
  3. Step 3: Cross multiply
    16,354.62x = 22,569.38 × 8,902.62
  4. Step 4: Simplify right side
    16,354.62x = 200,926,613.78
  5. Step 5: Solve for x
    x = 200,926,613.78/16,354.62
  6. Step 6: Final answer
    x = 12,285.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.