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Finding the Fourth Proportional to 15,937.60, 23,906.40 and 6,077.20

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Solution

The fourth proportional to 15,937.60, 23,906.40 and 6,077.20 is: 9,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,937.60 : 23,906.40 = 6,077.20 : x
  2. Step 2: Convert to fraction form
    15,937.60/23,906.40 = 6,077.20/x
  3. Step 3: Cross multiply
    15,937.60x = 23,906.40 × 6,077.20
  4. Step 4: Simplify right side
    15,937.60x = 145,283,974.08
  5. Step 5: Solve for x
    x = 145,283,974.08/15,937.60
  6. Step 6: Final answer
    x = 9,115.80

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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.