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Finding the Fourth Proportional to 12,006.35, 16,569.20 and 6,702.18

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Solution

The fourth proportional to 12,006.35, 16,569.20 and 6,702.18 is: 9,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.35 : 16,569.20 = 6,702.18 : x
  2. Step 2: Convert to fraction form
    12,006.35/16,569.20 = 6,702.18/x
  3. Step 3: Cross multiply
    12,006.35x = 16,569.20 × 6,702.18
  4. Step 4: Simplify right side
    12,006.35x = 111,049,760.86
  5. Step 5: Solve for x
    x = 111,049,760.86/12,006.35
  6. Step 6: Final answer
    x = 9,249.25

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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.