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Finding the Fourth Proportional to 24,707.44, 37,061.07 and 7,177.24

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Solution

The fourth proportional to 24,707.44, 37,061.07 and 7,177.24 is: 10,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,707.44 : 37,061.07 = 7,177.24 : x
  2. Step 2: Convert to fraction form
    24,707.44/37,061.07 = 7,177.24/x
  3. Step 3: Cross multiply
    24,707.44x = 37,061.07 × 7,177.24
  4. Step 4: Simplify right side
    24,707.44x = 265,996,194.05
  5. Step 5: Solve for x
    x = 265,996,194.05/24,707.44
  6. Step 6: Final answer
    x = 10,765.83

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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.