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Finding the Fourth Proportional to 12,085.17, 18,143.25 and 9,313.74

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Solution

The fourth proportional to 12,085.17, 18,143.25 and 9,313.74 is: 13,982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.17 : 18,143.25 = 9,313.74 : x
  2. Step 2: Convert to fraction form
    12,085.17/18,143.25 = 9,313.74/x
  3. Step 3: Cross multiply
    12,085.17x = 18,143.25 × 9,313.74
  4. Step 4: Simplify right side
    12,085.17x = 168,981,513.26
  5. Step 5: Solve for x
    x = 168,981,513.26/12,085.17
  6. Step 6: Final answer
    x = 13,982.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.