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Finding the Fourth Proportional to 13,083.68, 19,486.97 and 13,019.95

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Solution

The fourth proportional to 13,083.68, 19,486.97 and 13,019.95 is: 19,392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.68 : 19,486.97 = 13,019.95 : x
  2. Step 2: Convert to fraction form
    13,083.68/19,486.97 = 13,019.95/x
  3. Step 3: Cross multiply
    13,083.68x = 19,486.97 × 13,019.95
  4. Step 4: Simplify right side
    13,083.68x = 253,719,375.05
  5. Step 5: Solve for x
    x = 253,719,375.05/13,083.68
  6. Step 6: Final answer
    x = 19,392.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.