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Finding the Fourth Proportional to 12,007.74, 16,570.20 and 6,702.42

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Solution

The fourth proportional to 12,007.74, 16,570.20 and 6,702.42 is: 9,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.74 : 16,570.20 = 6,702.42 : x
  2. Step 2: Convert to fraction form
    12,007.74/16,570.20 = 6,702.42/x
  3. Step 3: Cross multiply
    12,007.74x = 16,570.20 × 6,702.42
  4. Step 4: Simplify right side
    12,007.74x = 111,060,439.88
  5. Step 5: Solve for x
    x = 111,060,439.88/12,007.74
  6. Step 6: Final answer
    x = 9,249.07

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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.