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Finding the Fourth Proportional to 16,600.17, 22,908.24 and 9,148.17

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Solution

The fourth proportional to 16,600.17, 22,908.24 and 9,148.17 is: 12,624.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,600.17 : 22,908.24 = 9,148.17 : x
  2. Step 2: Convert to fraction form
    16,600.17/22,908.24 = 9,148.17/x
  3. Step 3: Cross multiply
    16,600.17x = 22,908.24 × 9,148.17
  4. Step 4: Simplify right side
    16,600.17x = 209,568,525.52
  5. Step 5: Solve for x
    x = 209,568,525.52/16,600.17
  6. Step 6: Final answer
    x = 12,624.48

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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.