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Finding the Fourth Proportional to 24,079.46, 36,120.81 and 9,288.50

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Solution

The fourth proportional to 24,079.46, 36,120.81 and 9,288.50 is: 13,933.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,079.46 : 36,120.81 = 9,288.50 : x
  2. Step 2: Convert to fraction form
    24,079.46/36,120.81 = 9,288.50/x
  3. Step 3: Cross multiply
    24,079.46x = 36,120.81 × 9,288.50
  4. Step 4: Simplify right side
    24,079.46x = 335,508,143.69
  5. Step 5: Solve for x
    x = 335,508,143.69/24,079.46
  6. Step 6: Final answer
    x = 13,933.37

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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.