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Finding the Fourth Proportional to 16,077.71, 22,187.24 and 8,908.09

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Solution

The fourth proportional to 16,077.71, 22,187.24 and 8,908.09 is: 12,293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.71 : 22,187.24 = 8,908.09 : x
  2. Step 2: Convert to fraction form
    16,077.71/22,187.24 = 8,908.09/x
  3. Step 3: Cross multiply
    16,077.71x = 22,187.24 × 8,908.09
  4. Step 4: Simplify right side
    16,077.71x = 197,645,930.77
  5. Step 5: Solve for x
    x = 197,645,930.77/16,077.71
  6. Step 6: Final answer
    x = 12,293.16

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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.