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Finding the Fourth Proportional to 18,340.50, 25,309.92 and 9,957

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Solution

The fourth proportional to 18,340.50, 25,309.92 and 9,957 is: 13,740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,340.50 : 25,309.92 = 9,957 : x
  2. Step 2: Convert to fraction form
    18,340.50/25,309.92 = 9,957/x
  3. Step 3: Cross multiply
    18,340.50x = 25,309.92 × 9,957
  4. Step 4: Simplify right side
    18,340.50x = 252,010,873.44
  5. Step 5: Solve for x
    x = 252,010,873.44/18,340.50
  6. Step 6: Final answer
    x = 13,740.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.