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Finding the Fourth Proportional to 19,872.80, 29,809.24 and 8,186.16

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Solution

The fourth proportional to 19,872.80, 29,809.24 and 8,186.16 is: 12,279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,872.80 : 29,809.24 = 8,186.16 : x
  2. Step 2: Convert to fraction form
    19,872.80/29,809.24 = 8,186.16/x
  3. Step 3: Cross multiply
    19,872.80x = 29,809.24 × 8,186.16
  4. Step 4: Simplify right side
    19,872.80x = 244,023,208.12
  5. Step 5: Solve for x
    x = 244,023,208.12/19,872.80
  6. Step 6: Final answer
    x = 12,279.26

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1.5x scale

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.