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Finding the Fourth Proportional to 13,093.98, 19,634.49 and 6,853.02

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Solution

The fourth proportional to 13,093.98, 19,634.49 and 6,853.02 is: 10,276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.98 : 19,634.49 = 6,853.02 : x
  2. Step 2: Convert to fraction form
    13,093.98/19,634.49 = 6,853.02/x
  3. Step 3: Cross multiply
    13,093.98x = 19,634.49 × 6,853.02
  4. Step 4: Simplify right side
    13,093.98x = 134,555,552.66
  5. Step 5: Solve for x
    x = 134,555,552.66/13,093.98
  6. Step 6: Final answer
    x = 10,276.14

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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.