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Finding the Fourth Proportional to 16,657.52, 22,986.74 and 9,104.12

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Solution

The fourth proportional to 16,657.52, 22,986.74 and 9,104.12 is: 12,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657.52 : 22,986.74 = 9,104.12 : x
  2. Step 2: Convert to fraction form
    16,657.52/22,986.74 = 9,104.12/x
  3. Step 3: Cross multiply
    16,657.52x = 22,986.74 × 9,104.12
  4. Step 4: Simplify right side
    16,657.52x = 209,274,046.84
  5. Step 5: Solve for x
    x = 209,274,046.84/16,657.52
  6. Step 6: Final answer
    x = 12,563.33

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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.