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Finding the Fourth Proportional to 24,278.49, 36,419.76 and 7,641.09

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Solution

The fourth proportional to 24,278.49, 36,419.76 and 7,641.09 is: 11,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,278.49 : 36,419.76 = 7,641.09 : x
  2. Step 2: Convert to fraction form
    24,278.49/36,419.76 = 7,641.09/x
  3. Step 3: Cross multiply
    24,278.49x = 36,419.76 × 7,641.09
  4. Step 4: Simplify right side
    24,278.49x = 278,286,663.94
  5. Step 5: Solve for x
    x = 278,286,663.94/24,278.49
  6. Step 6: Final answer
    x = 11,462.27

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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.