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Finding the Fourth Proportional to 12,091.90, 16,686.85 and 6,714.34

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Solution

The fourth proportional to 12,091.90, 16,686.85 and 6,714.34 is: 9,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,091.90 : 16,686.85 = 6,714.34 : x
  2. Step 2: Convert to fraction form
    12,091.90/16,686.85 = 6,714.34/x
  3. Step 3: Cross multiply
    12,091.90x = 16,686.85 × 6,714.34
  4. Step 4: Simplify right side
    12,091.90x = 112,041,167.64
  5. Step 5: Solve for x
    x = 112,041,167.64/12,091.90
  6. Step 6: Final answer
    x = 9,265.81

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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.