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Finding the Fourth Proportional to 20,714.40, 31,052.76 and 7,557.60

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Solution

The fourth proportional to 20,714.40, 31,052.76 and 7,557.60 is: 11,329.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.40 : 31,052.76 = 7,557.60 : x
  2. Step 2: Convert to fraction form
    20,714.40/31,052.76 = 7,557.60/x
  3. Step 3: Cross multiply
    20,714.40x = 31,052.76 × 7,557.60
  4. Step 4: Simplify right side
    20,714.40x = 234,684,338.98
  5. Step 5: Solve for x
    x = 234,684,338.98/20,714.40
  6. Step 6: Final answer
    x = 11,329.53

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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.