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Finding the Fourth Proportional to 13,110.38, 18,092.54 and 7,142.06

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Solution

The fourth proportional to 13,110.38, 18,092.54 and 7,142.06 is: 9,856.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,110.38 : 18,092.54 = 7,142.06 : x
  2. Step 2: Convert to fraction form
    13,110.38/18,092.54 = 7,142.06/x
  3. Step 3: Cross multiply
    13,110.38x = 18,092.54 × 7,142.06
  4. Step 4: Simplify right side
    13,110.38x = 129,218,006.23
  5. Step 5: Solve for x
    x = 129,218,006.23/13,110.38
  6. Step 6: Final answer
    x = 9,856.16

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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.