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Finding the Fourth Proportional to 16,291.44, 22,482.24 and 8,839.44

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Solution

The fourth proportional to 16,291.44, 22,482.24 and 8,839.44 is: 12,198.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291.44 : 22,482.24 = 8,839.44 : x
  2. Step 2: Convert to fraction form
    16,291.44/22,482.24 = 8,839.44/x
  3. Step 3: Cross multiply
    16,291.44x = 22,482.24 × 8,839.44
  4. Step 4: Simplify right side
    16,291.44x = 198,730,411.55
  5. Step 5: Solve for x
    x = 198,730,411.55/16,291.44
  6. Step 6: Final answer
    x = 12,198.46

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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.