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Finding the Fourth Proportional to 16,642.80, 24,971.46 and 8,842.48

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Solution

The fourth proportional to 16,642.80, 24,971.46 and 8,842.48 is: 13,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.80 : 24,971.46 = 8,842.48 : x
  2. Step 2: Convert to fraction form
    16,642.80/24,971.46 = 8,842.48/x
  3. Step 3: Cross multiply
    16,642.80x = 24,971.46 × 8,842.48
  4. Step 4: Simplify right side
    16,642.80x = 220,809,635.62
  5. Step 5: Solve for x
    x = 220,809,635.62/16,642.80
  6. Step 6: Final answer
    x = 13,267.58

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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.