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Finding the Fourth Proportional to 12,015, 16,587.18 and 8,041.68

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Solution

The fourth proportional to 12,015, 16,587.18 and 8,041.68 is: 11,101.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015 : 16,587.18 = 8,041.68 : x
  2. Step 2: Convert to fraction form
    12,015/16,587.18 = 8,041.68/x
  3. Step 3: Cross multiply
    12,015x = 16,587.18 × 8,041.68
  4. Step 4: Simplify right side
    12,015x = 133,388,793.66
  5. Step 5: Solve for x
    x = 133,388,793.66/12,015
  6. Step 6: Final answer
    x = 11,101.86

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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.