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Finding the Fourth Proportional to 25,701, 38,552.18 and 8,170.83

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Solution

The fourth proportional to 25,701, 38,552.18 and 8,170.83 is: 12,256.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,701 : 38,552.18 = 8,170.83 : x
  2. Step 2: Convert to fraction form
    25,701/38,552.18 = 8,170.83/x
  3. Step 3: Cross multiply
    25,701x = 38,552.18 × 8,170.83
  4. Step 4: Simplify right side
    25,701x = 315,003,268.06
  5. Step 5: Solve for x
    x = 315,003,268.06/25,701
  6. Step 6: Final answer
    x = 12,256.46

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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.