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Finding the Fourth Proportional to 12,231.18, 16,878.69 and 6,642.18

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Solution

The fourth proportional to 12,231.18, 16,878.69 and 6,642.18 is: 9,166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.18 : 16,878.69 = 6,642.18 : x
  2. Step 2: Convert to fraction form
    12,231.18/16,878.69 = 6,642.18/x
  3. Step 3: Cross multiply
    12,231.18x = 16,878.69 × 6,642.18
  4. Step 4: Simplify right side
    12,231.18x = 112,111,297.14
  5. Step 5: Solve for x
    x = 112,111,297.14/12,231.18
  6. Step 6: Final answer
    x = 9,166.02

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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.