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Finding the Fourth Proportional to 14,714.71, 20,306.20 and 8,000.33

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Solution

The fourth proportional to 14,714.71, 20,306.20 and 8,000.33 is: 11,040.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.71 : 20,306.20 = 8,000.33 : x
  2. Step 2: Convert to fraction form
    14,714.71/20,306.20 = 8,000.33/x
  3. Step 3: Cross multiply
    14,714.71x = 20,306.20 × 8,000.33
  4. Step 4: Simplify right side
    14,714.71x = 162,456,331.81
  5. Step 5: Solve for x
    x = 162,456,331.81/14,714.71
  6. Step 6: Final answer
    x = 11,040.41

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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.