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Finding the Fourth Proportional to 15,800.92, 23,702.74 and 4,114.13

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Solution

The fourth proportional to 15,800.92, 23,702.74 and 4,114.13 is: 6,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,800.92 : 23,702.74 = 4,114.13 : x
  2. Step 2: Convert to fraction form
    15,800.92/23,702.74 = 4,114.13/x
  3. Step 3: Cross multiply
    15,800.92x = 23,702.74 × 4,114.13
  4. Step 4: Simplify right side
    15,800.92x = 97,516,024.92
  5. Step 5: Solve for x
    x = 97,516,024.92/15,800.92
  6. Step 6: Final answer
    x = 6,171.54

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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.