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Finding the Fourth Proportional to 12,412.53, 18,620.16 and 3,648.13

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Solution

The fourth proportional to 12,412.53, 18,620.16 and 3,648.13 is: 5,472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.53 : 18,620.16 = 3,648.13 : x
  2. Step 2: Convert to fraction form
    12,412.53/18,620.16 = 3,648.13/x
  3. Step 3: Cross multiply
    12,412.53x = 18,620.16 × 3,648.13
  4. Step 4: Simplify right side
    12,412.53x = 67,928,671.20
  5. Step 5: Solve for x
    x = 67,928,671.20/12,412.53
  6. Step 6: Final answer
    x = 5,472.59

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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.