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Finding the Fourth Proportional to 16,047.12, 22,144.60 and 8,974.20

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Solution

The fourth proportional to 16,047.12, 22,144.60 and 8,974.20 is: 12,384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,047.12 : 22,144.60 = 8,974.20 : x
  2. Step 2: Convert to fraction form
    16,047.12/22,144.60 = 8,974.20/x
  3. Step 3: Cross multiply
    16,047.12x = 22,144.60 × 8,974.20
  4. Step 4: Simplify right side
    16,047.12x = 198,730,069.32
  5. Step 5: Solve for x
    x = 198,730,069.32/16,047.12
  6. Step 6: Final answer
    x = 12,384.16

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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.