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Finding the Fourth Proportional to 25,507.68, 38,222.64 and 11,640.48

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Solution

The fourth proportional to 25,507.68, 38,222.64 and 11,640.48 is: 17,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,507.68 : 38,222.64 = 11,640.48 : x
  2. Step 2: Convert to fraction form
    25,507.68/38,222.64 = 11,640.48/x
  3. Step 3: Cross multiply
    25,507.68x = 38,222.64 × 11,640.48
  4. Step 4: Simplify right side
    25,507.68x = 444,929,876.47
  5. Step 5: Solve for x
    x = 444,929,876.47/25,507.68
  6. Step 6: Final answer
    x = 17,442.98

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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.