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Finding the Fourth Proportional to 13,134.31, 18,125.12 and 7,165.97

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Solution

The fourth proportional to 13,134.31, 18,125.12 and 7,165.97 is: 9,888.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.31 : 18,125.12 = 7,165.97 : x
  2. Step 2: Convert to fraction form
    13,134.31/18,125.12 = 7,165.97/x
  3. Step 3: Cross multiply
    13,134.31x = 18,125.12 × 7,165.97
  4. Step 4: Simplify right side
    13,134.31x = 129,884,066.17
  5. Step 5: Solve for x
    x = 129,884,066.17/13,134.31
  6. Step 6: Final answer
    x = 9,888.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.