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Finding the Fourth Proportional to 13,495.27, 20,233.69 and 6,095.70

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Solution

The fourth proportional to 13,495.27, 20,233.69 and 6,095.70 is: 9,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,495.27 : 20,233.69 = 6,095.70 : x
  2. Step 2: Convert to fraction form
    13,495.27/20,233.69 = 6,095.70/x
  3. Step 3: Cross multiply
    13,495.27x = 20,233.69 × 6,095.70
  4. Step 4: Simplify right side
    13,495.27x = 123,338,504.13
  5. Step 5: Solve for x
    x = 123,338,504.13/13,495.27
  6. Step 6: Final answer
    x = 9,139.39

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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.