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Finding the Fourth Proportional to 12,876.30, 17,766.72 and 7,837.14

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Solution

The fourth proportional to 12,876.30, 17,766.72 and 7,837.14 is: 10,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.30 : 17,766.72 = 7,837.14 : x
  2. Step 2: Convert to fraction form
    12,876.30/17,766.72 = 7,837.14/x
  3. Step 3: Cross multiply
    12,876.30x = 17,766.72 × 7,837.14
  4. Step 4: Simplify right side
    12,876.30x = 139,240,271.98
  5. Step 5: Solve for x
    x = 139,240,271.98/12,876.30
  6. Step 6: Final answer
    x = 10,813.69

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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.