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Finding the Fourth Proportional to 17,800.98, 24,565.84 and 9,843.49

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Solution

The fourth proportional to 17,800.98, 24,565.84 and 9,843.49 is: 13,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800.98 : 24,565.84 = 9,843.49 : x
  2. Step 2: Convert to fraction form
    17,800.98/24,565.84 = 9,843.49/x
  3. Step 3: Cross multiply
    17,800.98x = 24,565.84 × 9,843.49
  4. Step 4: Simplify right side
    17,800.98x = 241,813,606.48
  5. Step 5: Solve for x
    x = 241,813,606.48/17,800.98
  6. Step 6: Final answer
    x = 13,584.29

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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.