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Finding the Fourth Proportional to 24,338.41, 36,512.54 and 10,298.41

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Solution

The fourth proportional to 24,338.41, 36,512.54 and 10,298.41 is: 15,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,338.41 : 36,512.54 = 10,298.41 : x
  2. Step 2: Convert to fraction form
    24,338.41/36,512.54 = 10,298.41/x
  3. Step 3: Cross multiply
    24,338.41x = 36,512.54 × 10,298.41
  4. Step 4: Simplify right side
    24,338.41x = 376,021,107.06
  5. Step 5: Solve for x
    x = 376,021,107.06/24,338.41
  6. Step 6: Final answer
    x = 15,449.70

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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.