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Finding the Fourth Proportional to 14,714.97, 20,306.45 and 8,000.43

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Solution

The fourth proportional to 14,714.97, 20,306.45 and 8,000.43 is: 11,040.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.97 : 20,306.45 = 8,000.43 : x
  2. Step 2: Convert to fraction form
    14,714.97/20,306.45 = 8,000.43/x
  3. Step 3: Cross multiply
    14,714.97x = 20,306.45 × 8,000.43
  4. Step 4: Simplify right side
    14,714.97x = 162,460,291.77
  5. Step 5: Solve for x
    x = 162,460,291.77/14,714.97
  6. Step 6: Final answer
    x = 11,040.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.