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Finding the Fourth Proportional to 16,616.70, 22,929.03 and 9,164.22

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Solution

The fourth proportional to 16,616.70, 22,929.03 and 9,164.22 is: 12,645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,616.70 : 22,929.03 = 9,164.22 : x
  2. Step 2: Convert to fraction form
    16,616.70/22,929.03 = 9,164.22/x
  3. Step 3: Cross multiply
    16,616.70x = 22,929.03 × 9,164.22
  4. Step 4: Simplify right side
    16,616.70x = 210,126,675.31
  5. Step 5: Solve for x
    x = 210,126,675.31/16,616.70
  6. Step 6: Final answer
    x = 12,645.51

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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.