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Finding the Fourth Proportional to 13,497.60, 20,249.28 and 5,702.40

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Solution

The fourth proportional to 13,497.60, 20,249.28 and 5,702.40 is: 8,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.60 : 20,249.28 = 5,702.40 : x
  2. Step 2: Convert to fraction form
    13,497.60/20,249.28 = 5,702.40/x
  3. Step 3: Cross multiply
    13,497.60x = 20,249.28 × 5,702.40
  4. Step 4: Simplify right side
    13,497.60x = 115,469,494.27
  5. Step 5: Solve for x
    x = 115,469,494.27/13,497.60
  6. Step 6: Final answer
    x = 8,554.82

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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.