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Finding the Fourth Proportional to 13,456.88, 20,186.36 and 4,097.70

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Solution

The fourth proportional to 13,456.88, 20,186.36 and 4,097.70 is: 6,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.88 : 20,186.36 = 4,097.70 : x
  2. Step 2: Convert to fraction form
    13,456.88/20,186.36 = 4,097.70/x
  3. Step 3: Cross multiply
    13,456.88x = 20,186.36 × 4,097.70
  4. Step 4: Simplify right side
    13,456.88x = 82,717,647.37
  5. Step 5: Solve for x
    x = 82,717,647.37/13,456.88
  6. Step 6: Final answer
    x = 6,146.87

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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.