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Finding the Fourth Proportional to 12,497.20, 18,744.60 and 5,102.32

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Solution

The fourth proportional to 12,497.20, 18,744.60 and 5,102.32 is: 7,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.20 : 18,744.60 = 5,102.32 : x
  2. Step 2: Convert to fraction form
    12,497.20/18,744.60 = 5,102.32/x
  3. Step 3: Cross multiply
    12,497.20x = 18,744.60 × 5,102.32
  4. Step 4: Simplify right side
    12,497.20x = 95,640,947.47
  5. Step 5: Solve for x
    x = 95,640,947.47/12,497.20
  6. Step 6: Final answer
    x = 7,652.99

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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.