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Finding the Fourth Proportional to 20,722.60, 31,083.90 and 10,864.90

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Solution

The fourth proportional to 20,722.60, 31,083.90 and 10,864.90 is: 16,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,722.60 : 31,083.90 = 10,864.90 : x
  2. Step 2: Convert to fraction form
    20,722.60/31,083.90 = 10,864.90/x
  3. Step 3: Cross multiply
    20,722.60x = 31,083.90 × 10,864.90
  4. Step 4: Simplify right side
    20,722.60x = 337,723,465.11
  5. Step 5: Solve for x
    x = 337,723,465.11/20,722.60
  6. Step 6: Final answer
    x = 16,297.35

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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.