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Finding the Fourth Proportional to 24,178.97, 36,260.77 and 7,759.13

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Solution

The fourth proportional to 24,178.97, 36,260.77 and 7,759.13 is: 11,636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178.97 : 36,260.77 = 7,759.13 : x
  2. Step 2: Convert to fraction form
    24,178.97/36,260.77 = 7,759.13/x
  3. Step 3: Cross multiply
    24,178.97x = 36,260.77 × 7,759.13
  4. Step 4: Simplify right side
    24,178.97x = 281,351,827.63
  5. Step 5: Solve for x
    x = 281,351,827.63/24,178.97
  6. Step 6: Final answer
    x = 11,636.22

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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.