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Finding the Fourth Proportional to 13,512.52, 18,641.90 and 9,029.17

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Solution

The fourth proportional to 13,512.52, 18,641.90 and 9,029.17 is: 12,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,512.52 : 18,641.90 = 9,029.17 : x
  2. Step 2: Convert to fraction form
    13,512.52/18,641.90 = 9,029.17/x
  3. Step 3: Cross multiply
    13,512.52x = 18,641.90 × 9,029.17
  4. Step 4: Simplify right side
    13,512.52x = 168,320,860.19
  5. Step 5: Solve for x
    x = 168,320,860.19/13,512.52
  6. Step 6: Final answer
    x = 12,456.66

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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.