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Finding the Fourth Proportional to 25,522.26, 38,280.92 and 7,753.08

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Solution

The fourth proportional to 25,522.26, 38,280.92 and 7,753.08 is: 11,628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,522.26 : 38,280.92 = 7,753.08 : x
  2. Step 2: Convert to fraction form
    25,522.26/38,280.92 = 7,753.08/x
  3. Step 3: Cross multiply
    25,522.26x = 38,280.92 × 7,753.08
  4. Step 4: Simplify right side
    25,522.26x = 296,795,035.23
  5. Step 5: Solve for x
    x = 296,795,035.23/25,522.26
  6. Step 6: Final answer
    x = 11,628.87

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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.