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Finding the Fourth Proportional to 13,093.71, 19,634.13 and 4,657.38

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Solution

The fourth proportional to 13,093.71, 19,634.13 and 4,657.38 is: 6,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.71 : 19,634.13 = 4,657.38 : x
  2. Step 2: Convert to fraction form
    13,093.71/19,634.13 = 4,657.38/x
  3. Step 3: Cross multiply
    13,093.71x = 19,634.13 × 4,657.38
  4. Step 4: Simplify right side
    13,093.71x = 91,443,604.38
  5. Step 5: Solve for x
    x = 91,443,604.38/13,093.71
  6. Step 6: Final answer
    x = 6,983.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.