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Finding the Fourth Proportional to 12,199.04, 16,820.52 and 9,016.88

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Solution

The fourth proportional to 12,199.04, 16,820.52 and 9,016.88 is: 12,432.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.04 : 16,820.52 = 9,016.88 : x
  2. Step 2: Convert to fraction form
    12,199.04/16,820.52 = 9,016.88/x
  3. Step 3: Cross multiply
    12,199.04x = 16,820.52 × 9,016.88
  4. Step 4: Simplify right side
    12,199.04x = 151,668,610.38
  5. Step 5: Solve for x
    x = 151,668,610.38/12,199.04
  6. Step 6: Final answer
    x = 12,432.83

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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.