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Finding the Fourth Proportional to 22,067.70, 30,478.43 and 14,547.43

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Solution

The fourth proportional to 22,067.70, 30,478.43 and 14,547.43 is: 20,091.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,067.70 : 30,478.43 = 14,547.43 : x
  2. Step 2: Convert to fraction form
    22,067.70/30,478.43 = 14,547.43/x
  3. Step 3: Cross multiply
    22,067.70x = 30,478.43 × 14,547.43
  4. Step 4: Simplify right side
    22,067.70x = 443,382,826.93
  5. Step 5: Solve for x
    x = 443,382,826.93/22,067.70
  6. Step 6: Final answer
    x = 20,091.94

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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.