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Finding the Fourth Proportional to 12,468.48, 18,702.56 and 4,149.12

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Solution

The fourth proportional to 12,468.48, 18,702.56 and 4,149.12 is: 6,223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.48 : 18,702.56 = 4,149.12 : x
  2. Step 2: Convert to fraction form
    12,468.48/18,702.56 = 4,149.12/x
  3. Step 3: Cross multiply
    12,468.48x = 18,702.56 × 4,149.12
  4. Step 4: Simplify right side
    12,468.48x = 77,599,165.75
  5. Step 5: Solve for x
    x = 77,599,165.75/12,468.48
  6. Step 6: Final answer
    x = 6,223.63

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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.