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Finding the Fourth Proportional to 25,580.96, 38,375.10 and 8,046.70

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Solution

The fourth proportional to 25,580.96, 38,375.10 and 8,046.70 is: 12,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,580.96 : 38,375.10 = 8,046.70 : x
  2. Step 2: Convert to fraction form
    25,580.96/38,375.10 = 8,046.70/x
  3. Step 3: Cross multiply
    25,580.96x = 38,375.10 × 8,046.70
  4. Step 4: Simplify right side
    25,580.96x = 308,792,917.17
  5. Step 5: Solve for x
    x = 308,792,917.17/25,580.96
  6. Step 6: Final answer
    x = 12,071.20

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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.