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Finding the Fourth Proportional to 24,123, 36,159.68 and 10,091.22

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Solution

The fourth proportional to 24,123, 36,159.68 and 10,091.22 is: 15,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,123 : 36,159.68 = 10,091.22 : x
  2. Step 2: Convert to fraction form
    24,123/36,159.68 = 10,091.22/x
  3. Step 3: Cross multiply
    24,123x = 36,159.68 × 10,091.22
  4. Step 4: Simplify right side
    24,123x = 364,895,286.01
  5. Step 5: Solve for x
    x = 364,895,286.01/24,123
  6. Step 6: Final answer
    x = 15,126.45

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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.