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Finding the Fourth Proportional to 13,906.68, 19,184.79 and 12,314.95

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Solution

The fourth proportional to 13,906.68, 19,184.79 and 12,314.95 is: 16,988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.68 : 19,184.79 = 12,314.95 : x
  2. Step 2: Convert to fraction form
    13,906.68/19,184.79 = 12,314.95/x
  3. Step 3: Cross multiply
    13,906.68x = 19,184.79 × 12,314.95
  4. Step 4: Simplify right side
    13,906.68x = 236,259,729.61
  5. Step 5: Solve for x
    x = 236,259,729.61/13,906.68
  6. Step 6: Final answer
    x = 16,988.94

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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.