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Finding the Fourth Proportional to 25,373.68, 38,064.17 and 7,844.88

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Solution

The fourth proportional to 25,373.68, 38,064.17 and 7,844.88 is: 11,768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,373.68 : 38,064.17 = 7,844.88 : x
  2. Step 2: Convert to fraction form
    25,373.68/38,064.17 = 7,844.88/x
  3. Step 3: Cross multiply
    25,373.68x = 38,064.17 × 7,844.88
  4. Step 4: Simplify right side
    25,373.68x = 298,608,845.95
  5. Step 5: Solve for x
    x = 298,608,845.95/25,373.68
  6. Step 6: Final answer
    x = 11,768.45

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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.