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Finding the Fourth Proportional to 25,002.74, 37,509.92 and 7,232.68

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Solution

The fourth proportional to 25,002.74, 37,509.92 and 7,232.68 is: 10,850.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,002.74 : 37,509.92 = 7,232.68 : x
  2. Step 2: Convert to fraction form
    25,002.74/37,509.92 = 7,232.68/x
  3. Step 3: Cross multiply
    25,002.74x = 37,509.92 × 7,232.68
  4. Step 4: Simplify right side
    25,002.74x = 271,297,248.19
  5. Step 5: Solve for x
    x = 271,297,248.19/25,002.74
  6. Step 6: Final answer
    x = 10,850.70

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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.