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Finding the Fourth Proportional to 12,005.35, 16,567.82 and 6,701.18

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Solution

The fourth proportional to 12,005.35, 16,567.82 and 6,701.18 is: 9,247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.35 : 16,567.82 = 6,701.18 : x
  2. Step 2: Convert to fraction form
    12,005.35/16,567.82 = 6,701.18/x
  3. Step 3: Cross multiply
    12,005.35x = 16,567.82 × 6,701.18
  4. Step 4: Simplify right side
    12,005.35x = 111,024,002.20
  5. Step 5: Solve for x
    x = 111,024,002.20/12,005.35
  6. Step 6: Final answer
    x = 9,247.88

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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.