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Finding the Fourth Proportional to 17,462.47, 24,098.73 and 9,505.21

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Solution

The fourth proportional to 17,462.47, 24,098.73 and 9,505.21 is: 13,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,462.47 : 24,098.73 = 9,505.21 : x
  2. Step 2: Convert to fraction form
    17,462.47/24,098.73 = 9,505.21/x
  3. Step 3: Cross multiply
    17,462.47x = 24,098.73 × 9,505.21
  4. Step 4: Simplify right side
    17,462.47x = 229,063,489.38
  5. Step 5: Solve for x
    x = 229,063,489.38/17,462.47
  6. Step 6: Final answer
    x = 13,117.47

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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.