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Finding the Fourth Proportional to 17,584.20, 26,380.80 and 12,400.20

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Solution

The fourth proportional to 17,584.20, 26,380.80 and 12,400.20 is: 18,603.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584.20 : 26,380.80 = 12,400.20 : x
  2. Step 2: Convert to fraction form
    17,584.20/26,380.80 = 12,400.20/x
  3. Step 3: Cross multiply
    17,584.20x = 26,380.80 × 12,400.20
  4. Step 4: Simplify right side
    17,584.20x = 327,127,196.16
  5. Step 5: Solve for x
    x = 327,127,196.16/17,584.20
  6. Step 6: Final answer
    x = 18,603.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.