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Finding the Fourth Proportional to 20,534.35, 30,801.53 and 7,217.80

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Solution

The fourth proportional to 20,534.35, 30,801.53 and 7,217.80 is: 10,826.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534.35 : 30,801.53 = 7,217.80 : x
  2. Step 2: Convert to fraction form
    20,534.35/30,801.53 = 7,217.80/x
  3. Step 3: Cross multiply
    20,534.35x = 30,801.53 × 7,217.80
  4. Step 4: Simplify right side
    20,534.35x = 222,319,283.23
  5. Step 5: Solve for x
    x = 222,319,283.23/20,534.35
  6. Step 6: Final answer
    x = 10,826.70

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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.