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Finding the Fourth Proportional to 20,229.78, 30,325.07 and 7,740.18

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Solution

The fourth proportional to 20,229.78, 30,325.07 and 7,740.18 is: 11,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229.78 : 30,325.07 = 7,740.18 : x
  2. Step 2: Convert to fraction form
    20,229.78/30,325.07 = 7,740.18/x
  3. Step 3: Cross multiply
    20,229.78x = 30,325.07 × 7,740.18
  4. Step 4: Simplify right side
    20,229.78x = 234,721,461.61
  5. Step 5: Solve for x
    x = 234,721,461.61/20,229.78
  6. Step 6: Final answer
    x = 11,602.77

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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.