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Finding the Fourth Proportional to 20,979.87, 31,424.50 and 9,869.91

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Solution

The fourth proportional to 20,979.87, 31,424.50 and 9,869.91 is: 14,783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,979.87 : 31,424.50 = 9,869.91 : x
  2. Step 2: Convert to fraction form
    20,979.87/31,424.50 = 9,869.91/x
  3. Step 3: Cross multiply
    20,979.87x = 31,424.50 × 9,869.91
  4. Step 4: Simplify right side
    20,979.87x = 310,156,986.80
  5. Step 5: Solve for x
    x = 310,156,986.80/20,979.87
  6. Step 6: Final answer
    x = 14,783.55

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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.