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Finding the Fourth Proportional to 24,744.69, 37,117.44 and 8,106.48

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Solution

The fourth proportional to 24,744.69, 37,117.44 and 8,106.48 is: 12,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,744.69 : 37,117.44 = 8,106.48 : x
  2. Step 2: Convert to fraction form
    24,744.69/37,117.44 = 8,106.48/x
  3. Step 3: Cross multiply
    24,744.69x = 37,117.44 × 8,106.48
  4. Step 4: Simplify right side
    24,744.69x = 300,891,785.01
  5. Step 5: Solve for x
    x = 300,891,785.01/24,744.69
  6. Step 6: Final answer
    x = 12,159.85

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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.