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Finding the Fourth Proportional to 25,102.78, 37,654.44 and 7,572.76

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Solution

The fourth proportional to 25,102.78, 37,654.44 and 7,572.76 is: 11,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102.78 : 37,654.44 = 7,572.76 : x
  2. Step 2: Convert to fraction form
    25,102.78/37,654.44 = 7,572.76/x
  3. Step 3: Cross multiply
    25,102.78x = 37,654.44 × 7,572.76
  4. Step 4: Simplify right side
    25,102.78x = 285,148,037.05
  5. Step 5: Solve for x
    x = 285,148,037.05/25,102.78
  6. Step 6: Final answer
    x = 11,359.22

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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.