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Finding the Fourth Proportional to 16,065.28, 24,067.14 and 9,806.68

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Solution

The fourth proportional to 16,065.28, 24,067.14 and 9,806.68 is: 14,691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,065.28 : 24,067.14 = 9,806.68 : x
  2. Step 2: Convert to fraction form
    16,065.28/24,067.14 = 9,806.68/x
  3. Step 3: Cross multiply
    16,065.28x = 24,067.14 × 9,806.68
  4. Step 4: Simplify right side
    16,065.28x = 236,018,740.50
  5. Step 5: Solve for x
    x = 236,018,740.50/16,065.28
  6. Step 6: Final answer
    x = 14,691.23

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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.