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Finding the Fourth Proportional to 13,702.44, 20,526.08 and 6,296.61

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Solution

The fourth proportional to 13,702.44, 20,526.08 and 6,296.61 is: 9,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.44 : 20,526.08 = 6,296.61 : x
  2. Step 2: Convert to fraction form
    13,702.44/20,526.08 = 6,296.61/x
  3. Step 3: Cross multiply
    13,702.44x = 20,526.08 × 6,296.61
  4. Step 4: Simplify right side
    13,702.44x = 129,244,689.11
  5. Step 5: Solve for x
    x = 129,244,689.11/13,702.44
  6. Step 6: Final answer
    x = 9,432.24

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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.