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Finding the Fourth Proportional to 16,023.65, 22,112.08 and 8,853.14

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Solution

The fourth proportional to 16,023.65, 22,112.08 and 8,853.14 is: 12,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,023.65 : 22,112.08 = 8,853.14 : x
  2. Step 2: Convert to fraction form
    16,023.65/22,112.08 = 8,853.14/x
  3. Step 3: Cross multiply
    16,023.65x = 22,112.08 × 8,853.14
  4. Step 4: Simplify right side
    16,023.65x = 195,761,373.08
  5. Step 5: Solve for x
    x = 195,761,373.08/16,023.65
  6. Step 6: Final answer
    x = 12,217.03

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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.