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Finding the Fourth Proportional to 16,874.70, 23,287.08 and 9,422.70

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Solution

The fourth proportional to 16,874.70, 23,287.08 and 9,422.70 is: 13,003.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,874.70 : 23,287.08 = 9,422.70 : x
  2. Step 2: Convert to fraction form
    16,874.70/23,287.08 = 9,422.70/x
  3. Step 3: Cross multiply
    16,874.70x = 23,287.08 × 9,422.70
  4. Step 4: Simplify right side
    16,874.70x = 219,427,168.72
  5. Step 5: Solve for x
    x = 219,427,168.72/16,874.70
  6. Step 6: Final answer
    x = 13,003.32

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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.