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Finding the Fourth Proportional to 25,102.53, 37,654.07 and 7,572.51

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Solution

The fourth proportional to 25,102.53, 37,654.07 and 7,572.51 is: 11,358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102.53 : 37,654.07 = 7,572.51 : x
  2. Step 2: Convert to fraction form
    25,102.53/37,654.07 = 7,572.51/x
  3. Step 3: Cross multiply
    25,102.53x = 37,654.07 × 7,572.51
  4. Step 4: Simplify right side
    25,102.53x = 285,135,783.75
  5. Step 5: Solve for x
    x = 285,135,783.75/25,102.53
  6. Step 6: Final answer
    x = 11,358.85

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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.