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Finding the Fourth Proportional to 14,714.04, 20,305.42 and 7,999.68

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Solution

The fourth proportional to 14,714.04, 20,305.42 and 7,999.68 is: 11,039.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.04 : 20,305.42 = 7,999.68 : x
  2. Step 2: Convert to fraction form
    14,714.04/20,305.42 = 7,999.68/x
  3. Step 3: Cross multiply
    14,714.04x = 20,305.42 × 7,999.68
  4. Step 4: Simplify right side
    14,714.04x = 162,436,862.27
  5. Step 5: Solve for x
    x = 162,436,862.27/14,714.04
  6. Step 6: Final answer
    x = 11,039.58

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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.