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Finding the Fourth Proportional to 14,514.65, 20,029.65 and 8,226.89

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Solution

The fourth proportional to 14,514.65, 20,029.65 and 8,226.89 is: 11,352.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514.65 : 20,029.65 = 8,226.89 : x
  2. Step 2: Convert to fraction form
    14,514.65/20,029.65 = 8,226.89/x
  3. Step 3: Cross multiply
    14,514.65x = 20,029.65 × 8,226.89
  4. Step 4: Simplify right side
    14,514.65x = 164,781,727.29
  5. Step 5: Solve for x
    x = 164,781,727.29/14,514.65
  6. Step 6: Final answer
    x = 11,352.79

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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.