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Finding the Fourth Proportional to 24,773.71, 37,161.81 and 7,005.64

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Solution

The fourth proportional to 24,773.71, 37,161.81 and 7,005.64 is: 10,508.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,773.71 : 37,161.81 = 7,005.64 : x
  2. Step 2: Convert to fraction form
    24,773.71/37,161.81 = 7,005.64/x
  3. Step 3: Cross multiply
    24,773.71x = 37,161.81 × 7,005.64
  4. Step 4: Simplify right side
    24,773.71x = 260,342,169.70
  5. Step 5: Solve for x
    x = 260,342,169.70/24,773.71
  6. Step 6: Final answer
    x = 10,508.81

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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.