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Finding the Fourth Proportional to 13,722.20, 20,582.49 and 8,458.22

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Solution

The fourth proportional to 13,722.20, 20,582.49 and 8,458.22 is: 12,686.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.20 : 20,582.49 = 8,458.22 : x
  2. Step 2: Convert to fraction form
    13,722.20/20,582.49 = 8,458.22/x
  3. Step 3: Cross multiply
    13,722.20x = 20,582.49 × 8,458.22
  4. Step 4: Simplify right side
    13,722.20x = 174,091,125.66
  5. Step 5: Solve for x
    x = 174,091,125.66/13,722.20
  6. Step 6: Final answer
    x = 12,686.82

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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.