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Finding the Fourth Proportional to 12,230.80, 16,870.86 and 10,181.48

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Solution

The fourth proportional to 12,230.80, 16,870.86 and 10,181.48 is: 14,044.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.80 : 16,870.86 = 10,181.48 : x
  2. Step 2: Convert to fraction form
    12,230.80/16,870.86 = 10,181.48/x
  3. Step 3: Cross multiply
    12,230.80x = 16,870.86 × 10,181.48
  4. Step 4: Simplify right side
    12,230.80x = 171,770,239.32
  5. Step 5: Solve for x
    x = 171,770,239.32/12,230.80
  6. Step 6: Final answer
    x = 14,044.08

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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.