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Finding the Fourth Proportional to 12,231.16, 16,878.94 and 6,926.46

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Solution

The fourth proportional to 12,231.16, 16,878.94 and 6,926.46 is: 9,558.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.16 : 16,878.94 = 6,926.46 : x
  2. Step 2: Convert to fraction form
    12,231.16/16,878.94 = 6,926.46/x
  3. Step 3: Cross multiply
    12,231.16x = 16,878.94 × 6,926.46
  4. Step 4: Simplify right side
    12,231.16x = 116,911,302.75
  5. Step 5: Solve for x
    x = 116,911,302.75/12,231.16
  6. Step 6: Final answer
    x = 9,558.48

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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.