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Finding the Fourth Proportional to 20,211.70, 30,317.55 and 14,306.80

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Solution

The fourth proportional to 20,211.70, 30,317.55 and 14,306.80 is: 21,460.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211.70 : 30,317.55 = 14,306.80 : x
  2. Step 2: Convert to fraction form
    20,211.70/30,317.55 = 14,306.80/x
  3. Step 3: Cross multiply
    20,211.70x = 30,317.55 × 14,306.80
  4. Step 4: Simplify right side
    20,211.70x = 433,747,124.34
  5. Step 5: Solve for x
    x = 433,747,124.34/20,211.70
  6. Step 6: Final answer
    x = 21,460.20

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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.