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Finding the Fourth Proportional to 24,278.97, 36,418.94 and 7,638.65

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Solution

The fourth proportional to 24,278.97, 36,418.94 and 7,638.65 is: 11,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,278.97 : 36,418.94 = 7,638.65 : x
  2. Step 2: Convert to fraction form
    24,278.97/36,418.94 = 7,638.65/x
  3. Step 3: Cross multiply
    24,278.97x = 36,418.94 × 7,638.65
  4. Step 4: Simplify right side
    24,278.97x = 278,191,536.03
  5. Step 5: Solve for x
    x = 278,191,536.03/24,278.97
  6. Step 6: Final answer
    x = 11,458.13

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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.