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Finding the Fourth Proportional to 12,148.38, 16,765.49 and 7,433.58

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Solution

The fourth proportional to 12,148.38, 16,765.49 and 7,433.58 is: 10,258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.38 : 16,765.49 = 7,433.58 : x
  2. Step 2: Convert to fraction form
    12,148.38/16,765.49 = 7,433.58/x
  3. Step 3: Cross multiply
    12,148.38x = 16,765.49 × 7,433.58
  4. Step 4: Simplify right side
    12,148.38x = 124,627,611.15
  5. Step 5: Solve for x
    x = 124,627,611.15/12,148.38
  6. Step 6: Final answer
    x = 10,258.78

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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.