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Finding the Fourth Proportional to 12,261.83, 18,397.63 and 5,601.47

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Solution

The fourth proportional to 12,261.83, 18,397.63 and 5,601.47 is: 8,404.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261.83 : 18,397.63 = 5,601.47 : x
  2. Step 2: Convert to fraction form
    12,261.83/18,397.63 = 5,601.47/x
  3. Step 3: Cross multiply
    12,261.83x = 18,397.63 × 5,601.47
  4. Step 4: Simplify right side
    12,261.83x = 103,053,687.53
  5. Step 5: Solve for x
    x = 103,053,687.53/12,261.83
  6. Step 6: Final answer
    x = 8,404.43

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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.