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Finding the Fourth Proportional to 16,657.26, 22,966.11 and 10,678.38

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Solution

The fourth proportional to 16,657.26, 22,966.11 and 10,678.38 is: 14,722.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657.26 : 22,966.11 = 10,678.38 : x
  2. Step 2: Convert to fraction form
    16,657.26/22,966.11 = 10,678.38/x
  3. Step 3: Cross multiply
    16,657.26x = 22,966.11 × 10,678.38
  4. Step 4: Simplify right side
    16,657.26x = 245,240,849.70
  5. Step 5: Solve for x
    x = 245,240,849.70/16,657.26
  6. Step 6: Final answer
    x = 14,722.76

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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.