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Finding the Fourth Proportional to 25,824.52, 38,737 and 11,025.82

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Solution

The fourth proportional to 25,824.52, 38,737 and 11,025.82 is: 16,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,824.52 : 38,737 = 11,025.82 : x
  2. Step 2: Convert to fraction form
    25,824.52/38,737 = 11,025.82/x
  3. Step 3: Cross multiply
    25,824.52x = 38,737 × 11,025.82
  4. Step 4: Simplify right side
    25,824.52x = 427,107,189.34
  5. Step 5: Solve for x
    x = 427,107,189.34/25,824.52
  6. Step 6: Final answer
    x = 16,538.82

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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.