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Finding the Fourth Proportional to 25,760.16, 38,610.72 and 11,880

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Solution

The fourth proportional to 25,760.16, 38,610.72 and 11,880 is: 17,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,760.16 : 38,610.72 = 11,880 : x
  2. Step 2: Convert to fraction form
    25,760.16/38,610.72 = 11,880/x
  3. Step 3: Cross multiply
    25,760.16x = 38,610.72 × 11,880
  4. Step 4: Simplify right side
    25,760.16x = 458,695,353.60
  5. Step 5: Solve for x
    x = 458,695,353.60/25,760.16
  6. Step 6: Final answer
    x = 17,806.39

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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.