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Finding the Fourth Proportional to 20,870.14, 31,306.65 and 7,722.22

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Solution

The fourth proportional to 20,870.14, 31,306.65 and 7,722.22 is: 11,583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,870.14 : 31,306.65 = 7,722.22 : x
  2. Step 2: Convert to fraction form
    20,870.14/31,306.65 = 7,722.22/x
  3. Step 3: Cross multiply
    20,870.14x = 31,306.65 × 7,722.22
  4. Step 4: Simplify right side
    20,870.14x = 241,756,838.76
  5. Step 5: Solve for x
    x = 241,756,838.76/20,870.14
  6. Step 6: Final answer
    x = 11,583.86

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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.