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Finding the Fourth Proportional to 28,012.75, 38,658.41 and 15,438.31

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Solution

The fourth proportional to 28,012.75, 38,658.41 and 15,438.31 is: 21,305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,012.75 : 38,658.41 = 15,438.31 : x
  2. Step 2: Convert to fraction form
    28,012.75/38,658.41 = 15,438.31/x
  3. Step 3: Cross multiply
    28,012.75x = 38,658.41 × 15,438.31
  4. Step 4: Simplify right side
    28,012.75x = 596,820,517.69
  5. Step 5: Solve for x
    x = 596,820,517.69/28,012.75
  6. Step 6: Final answer
    x = 21,305.32

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Why These Related Problems?

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