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Finding the Fourth Proportional to 17,613.72, 24,307.29 and 9,655.47

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Solution

The fourth proportional to 17,613.72, 24,307.29 and 9,655.47 is: 13,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,613.72 : 24,307.29 = 9,655.47 : x
  2. Step 2: Convert to fraction form
    17,613.72/24,307.29 = 9,655.47/x
  3. Step 3: Cross multiply
    17,613.72x = 24,307.29 × 9,655.47
  4. Step 4: Simplify right side
    17,613.72x = 234,698,309.38
  5. Step 5: Solve for x
    x = 234,698,309.38/17,613.72
  6. Step 6: Final answer
    x = 13,324.74

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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.