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Finding the Fourth Proportional to 19,891.62, 27,444.82 and 12,822.13

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Solution

The fourth proportional to 19,891.62, 27,444.82 and 12,822.13 is: 17,690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891.62 : 27,444.82 = 12,822.13 : x
  2. Step 2: Convert to fraction form
    19,891.62/27,444.82 = 12,822.13/x
  3. Step 3: Cross multiply
    19,891.62x = 27,444.82 × 12,822.13
  4. Step 4: Simplify right side
    19,891.62x = 351,901,049.87
  5. Step 5: Solve for x
    x = 351,901,049.87/19,891.62
  6. Step 6: Final answer
    x = 17,690.92

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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.