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Finding the Fourth Proportional to 12,700.92, 17,527.32 and 7,399.38

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Solution

The fourth proportional to 12,700.92, 17,527.32 and 7,399.38 is: 10,211.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.92 : 17,527.32 = 7,399.38 : x
  2. Step 2: Convert to fraction form
    12,700.92/17,527.32 = 7,399.38/x
  3. Step 3: Cross multiply
    12,700.92x = 17,527.32 × 7,399.38
  4. Step 4: Simplify right side
    12,700.92x = 129,691,301.06
  5. Step 5: Solve for x
    x = 129,691,301.06/12,700.92
  6. Step 6: Final answer
    x = 10,211.17

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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.