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Finding the Fourth Proportional to 12,591.32, 18,880.12 and 8,148.35

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Solution

The fourth proportional to 12,591.32, 18,880.12 and 8,148.35 is: 12,218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.32 : 18,880.12 = 8,148.35 : x
  2. Step 2: Convert to fraction form
    12,591.32/18,880.12 = 8,148.35/x
  3. Step 3: Cross multiply
    12,591.32x = 18,880.12 × 8,148.35
  4. Step 4: Simplify right side
    12,591.32x = 153,841,825.80
  5. Step 5: Solve for x
    x = 153,841,825.80/12,591.32
  6. Step 6: Final answer
    x = 12,218.09

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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.