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Finding the Fourth Proportional to 17,901.64, 24,704.22 and 9,943.84

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Solution

The fourth proportional to 17,901.64, 24,704.22 and 9,943.84 is: 13,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,901.64 : 24,704.22 = 9,943.84 : x
  2. Step 2: Convert to fraction form
    17,901.64/24,704.22 = 9,943.84/x
  3. Step 3: Cross multiply
    17,901.64x = 24,704.22 × 9,943.84
  4. Step 4: Simplify right side
    17,901.64x = 245,654,811.00
  5. Step 5: Solve for x
    x = 245,654,811.00/17,901.64
  6. Step 6: Final answer
    x = 13,722.48

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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.