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Finding the Fourth Proportional to 25,758.16, 38,645.04 and 10,772.56

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Solution

The fourth proportional to 25,758.16, 38,645.04 and 10,772.56 is: 16,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,758.16 : 38,645.04 = 10,772.56 : x
  2. Step 2: Convert to fraction form
    25,758.16/38,645.04 = 10,772.56/x
  3. Step 3: Cross multiply
    25,758.16x = 38,645.04 × 10,772.56
  4. Step 4: Simplify right side
    25,758.16x = 416,306,012.10
  5. Step 5: Solve for x
    x = 416,306,012.10/25,758.16
  6. Step 6: Final answer
    x = 16,162.10

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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.