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Finding the Fourth Proportional to 17,688.72, 24,404.16 and 10,967.40

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Solution

The fourth proportional to 17,688.72, 24,404.16 and 10,967.40 is: 15,131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,688.72 : 24,404.16 = 10,967.40 : x
  2. Step 2: Convert to fraction form
    17,688.72/24,404.16 = 10,967.40/x
  3. Step 3: Cross multiply
    17,688.72x = 24,404.16 × 10,967.40
  4. Step 4: Simplify right side
    17,688.72x = 267,650,184.38
  5. Step 5: Solve for x
    x = 267,650,184.38/17,688.72
  6. Step 6: Final answer
    x = 15,131.12

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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.