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Finding the Fourth Proportional to 20,782.40, 31,250.40 and 17,403.20

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Solution

The fourth proportional to 20,782.40, 31,250.40 and 17,403.20 is: 26,169.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.40 : 31,250.40 = 17,403.20 : x
  2. Step 2: Convert to fraction form
    20,782.40/31,250.40 = 17,403.20/x
  3. Step 3: Cross multiply
    20,782.40x = 31,250.40 × 17,403.20
  4. Step 4: Simplify right side
    20,782.40x = 543,856,961.28
  5. Step 5: Solve for x
    x = 543,856,961.28/20,782.40
  6. Step 6: Final answer
    x = 26,169.11

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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.