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Finding the Fourth Proportional to 20,773.68, 31,160.88 and 7,627.20

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Solution

The fourth proportional to 20,773.68, 31,160.88 and 7,627.20 is: 11,440.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,773.68 : 31,160.88 = 7,627.20 : x
  2. Step 2: Convert to fraction form
    20,773.68/31,160.88 = 7,627.20/x
  3. Step 3: Cross multiply
    20,773.68x = 31,160.88 × 7,627.20
  4. Step 4: Simplify right side
    20,773.68x = 237,670,263.94
  5. Step 5: Solve for x
    x = 237,670,263.94/20,773.68
  6. Step 6: Final answer
    x = 11,440.93

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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.