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Finding the Fourth Proportional to 12,020.22, 16,587.36 and 6,714

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Solution

The fourth proportional to 12,020.22, 16,587.36 and 6,714 is: 9,265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,020.22 : 16,587.36 = 6,714 : x
  2. Step 2: Convert to fraction form
    12,020.22/16,587.36 = 6,714/x
  3. Step 3: Cross multiply
    12,020.22x = 16,587.36 × 6,714
  4. Step 4: Simplify right side
    12,020.22x = 111,367,535.04
  5. Step 5: Solve for x
    x = 111,367,535.04/12,020.22
  6. Step 6: Final answer
    x = 9,265.02

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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.