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Finding the Fourth Proportional to 24,449.27, 36,678.87 and 7,808.84

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Solution

The fourth proportional to 24,449.27, 36,678.87 and 7,808.84 is: 11,714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,449.27 : 36,678.87 = 7,808.84 : x
  2. Step 2: Convert to fraction form
    24,449.27/36,678.87 = 7,808.84/x
  3. Step 3: Cross multiply
    24,449.27x = 36,678.87 × 7,808.84
  4. Step 4: Simplify right side
    24,449.27x = 286,419,427.21
  5. Step 5: Solve for x
    x = 286,419,427.21/24,449.27
  6. Step 6: Final answer
    x = 11,714.85

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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.