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Finding the Fourth Proportional to 15,507.69, 21,402.20 and 9,136.28

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Solution

The fourth proportional to 15,507.69, 21,402.20 and 9,136.28 is: 12,609.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,507.69 : 21,402.20 = 9,136.28 : x
  2. Step 2: Convert to fraction form
    15,507.69/21,402.20 = 9,136.28/x
  3. Step 3: Cross multiply
    15,507.69x = 21,402.20 × 9,136.28
  4. Step 4: Simplify right side
    15,507.69x = 195,536,446.13
  5. Step 5: Solve for x
    x = 195,536,446.13/15,507.69
  6. Step 6: Final answer
    x = 12,609.00

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