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Finding the Fourth Proportional to 12,591.48, 17,374.86 and 7,002.12

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Solution

The fourth proportional to 12,591.48, 17,374.86 and 7,002.12 is: 9,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.48 : 17,374.86 = 7,002.12 : x
  2. Step 2: Convert to fraction form
    12,591.48/17,374.86 = 7,002.12/x
  3. Step 3: Cross multiply
    12,591.48x = 17,374.86 × 7,002.12
  4. Step 4: Simplify right side
    12,591.48x = 121,660,854.70
  5. Step 5: Solve for x
    x = 121,660,854.70/12,591.48
  6. Step 6: Final answer
    x = 9,662.16

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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.