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Finding the Fourth Proportional to 16,471.69, 22,730.76 and 8,918.03

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Solution

The fourth proportional to 16,471.69, 22,730.76 and 8,918.03 is: 12,306.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.69 : 22,730.76 = 8,918.03 : x
  2. Step 2: Convert to fraction form
    16,471.69/22,730.76 = 8,918.03/x
  3. Step 3: Cross multiply
    16,471.69x = 22,730.76 × 8,918.03
  4. Step 4: Simplify right side
    16,471.69x = 202,713,656.43
  5. Step 5: Solve for x
    x = 202,713,656.43/16,471.69
  6. Step 6: Final answer
    x = 12,306.79

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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.