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Finding the Fourth Proportional to 12,914.06, 17,818.11 and 7,877.95

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Solution

The fourth proportional to 12,914.06, 17,818.11 and 7,877.95 is: 10,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.06 : 17,818.11 = 7,877.95 : x
  2. Step 2: Convert to fraction form
    12,914.06/17,818.11 = 7,877.95/x
  3. Step 3: Cross multiply
    12,914.06x = 17,818.11 × 7,877.95
  4. Step 4: Simplify right side
    12,914.06x = 140,370,135.13
  5. Step 5: Solve for x
    x = 140,370,135.13/12,914.06
  6. Step 6: Final answer
    x = 10,869.56

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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.