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Finding the Fourth Proportional to 13,160.39, 18,165 and 8,125.43

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Solution

The fourth proportional to 13,160.39, 18,165 and 8,125.43 is: 11,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,160.39 : 18,165 = 8,125.43 : x
  2. Step 2: Convert to fraction form
    13,160.39/18,165 = 8,125.43/x
  3. Step 3: Cross multiply
    13,160.39x = 18,165 × 8,125.43
  4. Step 4: Simplify right side
    13,160.39x = 147,598,345.13
  5. Step 5: Solve for x
    x = 147,598,345.13/13,160.39
  6. Step 6: Final answer
    x = 11,215.35

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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.