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Finding the Fourth Proportional to 25,292.66, 37,932.12 and 7,523.28

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Solution

The fourth proportional to 25,292.66, 37,932.12 and 7,523.28 is: 11,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,292.66 : 37,932.12 = 7,523.28 : x
  2. Step 2: Convert to fraction form
    25,292.66/37,932.12 = 7,523.28/x
  3. Step 3: Cross multiply
    25,292.66x = 37,932.12 × 7,523.28
  4. Step 4: Simplify right side
    25,292.66x = 285,373,959.75
  5. Step 5: Solve for x
    x = 285,373,959.75/25,292.66
  6. Step 6: Final answer
    x = 11,282.88

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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.