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Finding the Fourth Proportional to 16,003.68, 22,082.88 and 9,714.96

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Solution

The fourth proportional to 16,003.68, 22,082.88 and 9,714.96 is: 13,405.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.68 : 22,082.88 = 9,714.96 : x
  2. Step 2: Convert to fraction form
    16,003.68/22,082.88 = 9,714.96/x
  3. Step 3: Cross multiply
    16,003.68x = 22,082.88 × 9,714.96
  4. Step 4: Simplify right side
    16,003.68x = 214,534,295.88
  5. Step 5: Solve for x
    x = 214,534,295.88/16,003.68
  6. Step 6: Final answer
    x = 13,405.31

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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.