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Finding the Fourth Proportional to 17,919.97, 24,730.10 and 9,853.21

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Solution

The fourth proportional to 17,919.97, 24,730.10 and 9,853.21 is: 13,597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,919.97 : 24,730.10 = 9,853.21 : x
  2. Step 2: Convert to fraction form
    17,919.97/24,730.10 = 9,853.21/x
  3. Step 3: Cross multiply
    17,919.97x = 24,730.10 × 9,853.21
  4. Step 4: Simplify right side
    17,919.97x = 243,670,868.62
  5. Step 5: Solve for x
    x = 243,670,868.62/17,919.97
  6. Step 6: Final answer
    x = 13,597.73

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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.