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Finding the Fourth Proportional to 24,504.66, 36,758.61 and 10,456.83

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Solution

The fourth proportional to 24,504.66, 36,758.61 and 10,456.83 is: 15,685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,504.66 : 36,758.61 = 10,456.83 : x
  2. Step 2: Convert to fraction form
    24,504.66/36,758.61 = 10,456.83/x
  3. Step 3: Cross multiply
    24,504.66x = 36,758.61 × 10,456.83
  4. Step 4: Simplify right side
    24,504.66x = 384,378,535.81
  5. Step 5: Solve for x
    x = 384,378,535.81/24,504.66
  6. Step 6: Final answer
    x = 15,685.94

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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.