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Finding the Fourth Proportional to 24,278.12, 36,424.74 and 8,695.88

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Solution

The fourth proportional to 24,278.12, 36,424.74 and 8,695.88 is: 13,046.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,278.12 : 36,424.74 = 8,695.88 : x
  2. Step 2: Convert to fraction form
    24,278.12/36,424.74 = 8,695.88/x
  3. Step 3: Cross multiply
    24,278.12x = 36,424.74 × 8,695.88
  4. Step 4: Simplify right side
    24,278.12x = 316,745,168.07
  5. Step 5: Solve for x
    x = 316,745,168.07/24,278.12
  6. Step 6: Final answer
    x = 13,046.53

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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.