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Finding the Fourth Proportional to 38,525.16, 57,789.90 and 10,821

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Solution

The fourth proportional to 38,525.16, 57,789.90 and 10,821 is: 16,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,525.16 : 57,789.90 = 10,821 : x
  2. Step 2: Convert to fraction form
    38,525.16/57,789.90 = 10,821/x
  3. Step 3: Cross multiply
    38,525.16x = 57,789.90 × 10,821
  4. Step 4: Simplify right side
    38,525.16x = 625,344,507.90
  5. Step 5: Solve for x
    x = 625,344,507.90/38,525.16
  6. Step 6: Final answer
    x = 16,232.11

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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.