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Finding the Fourth Proportional to 16,049.90, 22,148.90 and 8,976.44

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Solution

The fourth proportional to 16,049.90, 22,148.90 and 8,976.44 is: 12,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049.90 : 22,148.90 = 8,976.44 : x
  2. Step 2: Convert to fraction form
    16,049.90/22,148.90 = 8,976.44/x
  3. Step 3: Cross multiply
    16,049.90x = 22,148.90 × 8,976.44
  4. Step 4: Simplify right side
    16,049.90x = 198,818,116.29
  5. Step 5: Solve for x
    x = 198,818,116.29/16,049.90
  6. Step 6: Final answer
    x = 12,387.50

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1.5x scale

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.