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Finding the Fourth Proportional to 13,512.47, 18,641.86 and 9,029.12

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Solution

The fourth proportional to 13,512.47, 18,641.86 and 9,029.12 is: 12,456.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,512.47 : 18,641.86 = 9,029.12 : x
  2. Step 2: Convert to fraction form
    13,512.47/18,641.86 = 9,029.12/x
  3. Step 3: Cross multiply
    13,512.47x = 18,641.86 × 9,029.12
  4. Step 4: Simplify right side
    13,512.47x = 168,319,590.96
  5. Step 5: Solve for x
    x = 168,319,590.96/13,512.47
  6. Step 6: Final answer
    x = 12,456.61

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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.