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Finding the Fourth Proportional to 17,879.90, 24,674.40 and 9,922.28

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Solution

The fourth proportional to 17,879.90, 24,674.40 and 9,922.28 is: 13,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,879.90 : 24,674.40 = 9,922.28 : x
  2. Step 2: Convert to fraction form
    17,879.90/24,674.40 = 9,922.28/x
  3. Step 3: Cross multiply
    17,879.90x = 24,674.40 × 9,922.28
  4. Step 4: Simplify right side
    17,879.90x = 244,826,182.26
  5. Step 5: Solve for x
    x = 244,826,182.26/17,879.90
  6. Step 6: Final answer
    x = 13,692.82

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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.