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Finding the Fourth Proportional to 12,007.63, 16,568.82 and 6,702.33

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Solution

The fourth proportional to 12,007.63, 16,568.82 and 6,702.33 is: 9,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.63 : 16,568.82 = 6,702.33 : x
  2. Step 2: Convert to fraction form
    12,007.63/16,568.82 = 6,702.33/x
  3. Step 3: Cross multiply
    12,007.63x = 16,568.82 × 6,702.33
  4. Step 4: Simplify right side
    12,007.63x = 111,049,699.35
  5. Step 5: Solve for x
    x = 111,049,699.35/12,007.63
  6. Step 6: Final answer
    x = 9,248.26

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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.