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Finding the Fourth Proportional to 20,705.37, 31,062.64 and 7,557.71

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Solution

The fourth proportional to 20,705.37, 31,062.64 and 7,557.71 is: 11,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.37 : 31,062.64 = 7,557.71 : x
  2. Step 2: Convert to fraction form
    20,705.37/31,062.64 = 7,557.71/x
  3. Step 3: Cross multiply
    20,705.37x = 31,062.64 × 7,557.71
  4. Step 4: Simplify right side
    20,705.37x = 234,762,264.92
  5. Step 5: Solve for x
    x = 234,762,264.92/20,705.37
  6. Step 6: Final answer
    x = 11,338.23

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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.