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Finding the Fourth Proportional to 16,169.88, 22,314.92 and 9,795.12

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Solution

The fourth proportional to 16,169.88, 22,314.92 and 9,795.12 is: 13,517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,169.88 : 22,314.92 = 9,795.12 : x
  2. Step 2: Convert to fraction form
    16,169.88/22,314.92 = 9,795.12/x
  3. Step 3: Cross multiply
    16,169.88x = 22,314.92 × 9,795.12
  4. Step 4: Simplify right side
    16,169.88x = 218,577,319.19
  5. Step 5: Solve for x
    x = 218,577,319.19/16,169.88
  6. Step 6: Final answer
    x = 13,517.56

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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.