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Finding the Fourth Proportional to 14,412.80, 19,891.20 and 8,822.40

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Solution

The fourth proportional to 14,412.80, 19,891.20 and 8,822.40 is: 12,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412.80 : 19,891.20 = 8,822.40 : x
  2. Step 2: Convert to fraction form
    14,412.80/19,891.20 = 8,822.40/x
  3. Step 3: Cross multiply
    14,412.80x = 19,891.20 × 8,822.40
  4. Step 4: Simplify right side
    14,412.80x = 175,488,122.88
  5. Step 5: Solve for x
    x = 175,488,122.88/14,412.80
  6. Step 6: Final answer
    x = 12,175.85

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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.