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Finding the Fourth Proportional to 16,468.22, 22,726.17 and 8,914.56

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Solution

The fourth proportional to 16,468.22, 22,726.17 and 8,914.56 is: 12,302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,468.22 : 22,726.17 = 8,914.56 : x
  2. Step 2: Convert to fraction form
    16,468.22/22,726.17 = 8,914.56/x
  3. Step 3: Cross multiply
    16,468.22x = 22,726.17 × 8,914.56
  4. Step 4: Simplify right side
    16,468.22x = 202,593,806.04
  5. Step 5: Solve for x
    x = 202,593,806.04/16,468.22
  6. Step 6: Final answer
    x = 12,302.11

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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.