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Finding the Fourth Proportional to 24,644.82, 36,979.65 and 9,858

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Solution

The fourth proportional to 24,644.82, 36,979.65 and 9,858 is: 14,791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,644.82 : 36,979.65 = 9,858 : x
  2. Step 2: Convert to fraction form
    24,644.82/36,979.65 = 9,858/x
  3. Step 3: Cross multiply
    24,644.82x = 36,979.65 × 9,858
  4. Step 4: Simplify right side
    24,644.82x = 364,545,389.70
  5. Step 5: Solve for x
    x = 364,545,389.70/24,644.82
  6. Step 6: Final answer
    x = 14,791.97

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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.