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Finding the Fourth Proportional to 25,102.97, 37,654.73 and 7,572.95

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Solution

The fourth proportional to 25,102.97, 37,654.73 and 7,572.95 is: 11,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102.97 : 37,654.73 = 7,572.95 : x
  2. Step 2: Convert to fraction form
    25,102.97/37,654.73 = 7,572.95/x
  3. Step 3: Cross multiply
    25,102.97x = 37,654.73 × 7,572.95
  4. Step 4: Simplify right side
    25,102.97x = 285,157,349.69
  5. Step 5: Solve for x
    x = 285,157,349.69/25,102.97
  6. Step 6: Final answer
    x = 11,359.51

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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.