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Finding the Fourth Proportional to 24,077, 36,122.70 and 10,227.08

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Solution

The fourth proportional to 24,077, 36,122.70 and 10,227.08 is: 15,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,077 : 36,122.70 = 10,227.08 : x
  2. Step 2: Convert to fraction form
    24,077/36,122.70 = 10,227.08/x
  3. Step 3: Cross multiply
    24,077x = 36,122.70 × 10,227.08
  4. Step 4: Simplify right side
    24,077x = 369,429,742.72
  5. Step 5: Solve for x
    x = 369,429,742.72/24,077
  6. Step 6: Final answer
    x = 15,343.68

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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.