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Finding the Fourth Proportional to 20,705.16, 31,062.28 and 7,557.46

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Solution

The fourth proportional to 20,705.16, 31,062.28 and 7,557.46 is: 11,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.16 : 31,062.28 = 7,557.46 : x
  2. Step 2: Convert to fraction form
    20,705.16/31,062.28 = 7,557.46/x
  3. Step 3: Cross multiply
    20,705.16x = 31,062.28 × 7,557.46
  4. Step 4: Simplify right side
    20,705.16x = 234,751,938.61
  5. Step 5: Solve for x
    x = 234,751,938.61/20,705.16
  6. Step 6: Final answer
    x = 11,337.85

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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.