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Finding the Fourth Proportional to 12,876.23, 17,762.93 and 8,102.09

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Solution

The fourth proportional to 12,876.23, 17,762.93 and 8,102.09 is: 11,176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.23 : 17,762.93 = 8,102.09 : x
  2. Step 2: Convert to fraction form
    12,876.23/17,762.93 = 8,102.09/x
  3. Step 3: Cross multiply
    12,876.23x = 17,762.93 × 8,102.09
  4. Step 4: Simplify right side
    12,876.23x = 143,916,891.80
  5. Step 5: Solve for x
    x = 143,916,891.80/12,876.23
  6. Step 6: Final answer
    x = 11,176.94

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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.