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Finding the Fourth Proportional to 25,617.98, 38,438.84 and 10,830.34

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Solution

The fourth proportional to 25,617.98, 38,438.84 and 10,830.34 is: 16,250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,617.98 : 38,438.84 = 10,830.34 : x
  2. Step 2: Convert to fraction form
    25,617.98/38,438.84 = 10,830.34/x
  3. Step 3: Cross multiply
    25,617.98x = 38,438.84 × 10,830.34
  4. Step 4: Simplify right side
    25,617.98x = 416,305,706.41
  5. Step 5: Solve for x
    x = 416,305,706.41/25,617.98
  6. Step 6: Final answer
    x = 16,250.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.