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Finding the Fourth Proportional to 12,116.74, 16,721.14 and 6,739.24

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Solution

The fourth proportional to 12,116.74, 16,721.14 and 6,739.24 is: 9,300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.74 : 16,721.14 = 6,739.24 : x
  2. Step 2: Convert to fraction form
    12,116.74/16,721.14 = 6,739.24/x
  3. Step 3: Cross multiply
    12,116.74x = 16,721.14 × 6,739.24
  4. Step 4: Simplify right side
    12,116.74x = 112,687,775.53
  5. Step 5: Solve for x
    x = 112,687,775.53/12,116.74
  6. Step 6: Final answer
    x = 9,300.17

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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.