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Finding the Fourth Proportional to 12,397.38, 17,101.42 and 7,356.61

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Solution

The fourth proportional to 12,397.38, 17,101.42 and 7,356.61 is: 10,147.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.38 : 17,101.42 = 7,356.61 : x
  2. Step 2: Convert to fraction form
    12,397.38/17,101.42 = 7,356.61/x
  3. Step 3: Cross multiply
    12,397.38x = 17,101.42 × 7,356.61
  4. Step 4: Simplify right side
    12,397.38x = 125,808,477.39
  5. Step 5: Solve for x
    x = 125,808,477.39/12,397.38
  6. Step 6: Final answer
    x = 10,147.99

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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.