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Finding the Fourth Proportional to 17,884.40, 24,679.49 and 9,926.55

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Solution

The fourth proportional to 17,884.40, 24,679.49 and 9,926.55 is: 13,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884.40 : 24,679.49 = 9,926.55 : x
  2. Step 2: Convert to fraction form
    17,884.40/24,679.49 = 9,926.55/x
  3. Step 3: Cross multiply
    17,884.40x = 24,679.49 × 9,926.55
  4. Step 4: Simplify right side
    17,884.40x = 244,982,141.83
  5. Step 5: Solve for x
    x = 244,982,141.83/17,884.40
  6. Step 6: Final answer
    x = 13,698.10

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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.