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Finding the Fourth Proportional to 12,079.70, 16,670.12 and 6,702.24

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Solution

The fourth proportional to 12,079.70, 16,670.12 and 6,702.24 is: 9,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,079.70 : 16,670.12 = 6,702.24 : x
  2. Step 2: Convert to fraction form
    12,079.70/16,670.12 = 6,702.24/x
  3. Step 3: Cross multiply
    12,079.70x = 16,670.12 × 6,702.24
  4. Step 4: Simplify right side
    12,079.70x = 111,727,145.07
  5. Step 5: Solve for x
    x = 111,727,145.07/12,079.70
  6. Step 6: Final answer
    x = 9,249.17

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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.