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Finding the Fourth Proportional to 17,683, 24,402.54 and 9,725.74

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Solution

The fourth proportional to 17,683, 24,402.54 and 9,725.74 is: 13,421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683 : 24,402.54 = 9,725.74 : x
  2. Step 2: Convert to fraction form
    17,683/24,402.54 = 9,725.74/x
  3. Step 3: Cross multiply
    17,683x = 24,402.54 × 9,725.74
  4. Step 4: Simplify right side
    17,683x = 237,332,759.38
  5. Step 5: Solve for x
    x = 237,332,759.38/17,683
  6. Step 6: Final answer
    x = 13,421.52

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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.