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Finding the Fourth Proportional to 16,214.50, 24,290.28 and 10,650.97

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Solution

The fourth proportional to 16,214.50, 24,290.28 and 10,650.97 is: 15,955.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.50 : 24,290.28 = 10,650.97 : x
  2. Step 2: Convert to fraction form
    16,214.50/24,290.28 = 10,650.97/x
  3. Step 3: Cross multiply
    16,214.50x = 24,290.28 × 10,650.97
  4. Step 4: Simplify right side
    16,214.50x = 258,714,922.12
  5. Step 5: Solve for x
    x = 258,714,922.12/16,214.50
  6. Step 6: Final answer
    x = 15,955.78

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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.