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Finding the Fourth Proportional to 15,077.92, 20,817.24 and 9,702.76

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Solution

The fourth proportional to 15,077.92, 20,817.24 and 9,702.76 is: 13,396.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,077.92 : 20,817.24 = 9,702.76 : x
  2. Step 2: Convert to fraction form
    15,077.92/20,817.24 = 9,702.76/x
  3. Step 3: Cross multiply
    15,077.92x = 20,817.24 × 9,702.76
  4. Step 4: Simplify right side
    15,077.92x = 201,984,683.58
  5. Step 5: Solve for x
    x = 201,984,683.58/15,077.92
  6. Step 6: Final answer
    x = 13,396.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.