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Finding the Fourth Proportional to 14,714.46, 20,305.74 and 8,000.22

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Solution

The fourth proportional to 14,714.46, 20,305.74 and 8,000.22 is: 11,040.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.46 : 20,305.74 = 8,000.22 : x
  2. Step 2: Convert to fraction form
    14,714.46/20,305.74 = 8,000.22/x
  3. Step 3: Cross multiply
    14,714.46x = 20,305.74 × 8,000.22
  4. Step 4: Simplify right side
    14,714.46x = 162,450,387.26
  5. Step 5: Solve for x
    x = 162,450,387.26/14,714.46
  6. Step 6: Final answer
    x = 11,040.19

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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.