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Finding the Fourth Proportional to 24,122, 36,167.47 and 10,078.27

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Solution

The fourth proportional to 24,122, 36,167.47 and 10,078.27 is: 15,110.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,122 : 36,167.47 = 10,078.27 : x
  2. Step 2: Convert to fraction form
    24,122/36,167.47 = 10,078.27/x
  3. Step 3: Cross multiply
    24,122x = 36,167.47 × 10,078.27
  4. Step 4: Simplify right side
    24,122x = 364,505,527.88
  5. Step 5: Solve for x
    x = 364,505,527.88/24,122
  6. Step 6: Final answer
    x = 15,110.92

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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.