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Finding the Fourth Proportional to 25,510.74, 38,229 and 11,261.88

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Solution

The fourth proportional to 25,510.74, 38,229 and 11,261.88 is: 16,876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,510.74 : 38,229 = 11,261.88 : x
  2. Step 2: Convert to fraction form
    25,510.74/38,229 = 11,261.88/x
  3. Step 3: Cross multiply
    25,510.74x = 38,229 × 11,261.88
  4. Step 4: Simplify right side
    25,510.74x = 430,530,410.52
  5. Step 5: Solve for x
    x = 430,530,410.52/25,510.74
  6. Step 6: Final answer
    x = 16,876.44

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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.