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Finding the Fourth Proportional to 24,141.14, 36,221.71 and 13,034.78

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Solution

The fourth proportional to 24,141.14, 36,221.71 and 13,034.78 is: 19,557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,141.14 : 36,221.71 = 13,034.78 : x
  2. Step 2: Convert to fraction form
    24,141.14/36,221.71 = 13,034.78/x
  3. Step 3: Cross multiply
    24,141.14x = 36,221.71 × 13,034.78
  4. Step 4: Simplify right side
    24,141.14x = 472,142,021.07
  5. Step 5: Solve for x
    x = 472,142,021.07/24,141.14
  6. Step 6: Final answer
    x = 19,557.57

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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.