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Finding the Fourth Proportional to 14,714.73, 20,306.31 and 8,000.34

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Solution

The fourth proportional to 14,714.73, 20,306.31 and 8,000.34 is: 11,040.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.73 : 20,306.31 = 8,000.34 : x
  2. Step 2: Convert to fraction form
    14,714.73/20,306.31 = 8,000.34/x
  3. Step 3: Cross multiply
    14,714.73x = 20,306.31 × 8,000.34
  4. Step 4: Simplify right side
    14,714.73x = 162,457,384.15
  5. Step 5: Solve for x
    x = 162,457,384.15/14,714.73
  6. Step 6: Final answer
    x = 11,040.46

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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.