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Finding the Fourth Proportional to 14,714.17, 20,305.65 and 7,999.86

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Solution

The fourth proportional to 14,714.17, 20,305.65 and 7,999.86 is: 11,039.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.17 : 20,305.65 = 7,999.86 : x
  2. Step 2: Convert to fraction form
    14,714.17/20,305.65 = 7,999.86/x
  3. Step 3: Cross multiply
    14,714.17x = 20,305.65 × 7,999.86
  4. Step 4: Simplify right side
    14,714.17x = 162,442,357.21
  5. Step 5: Solve for x
    x = 162,442,357.21/14,714.17
  6. Step 6: Final answer
    x = 11,039.86

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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.