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Finding the Fourth Proportional to 13,705.25, 20,545.54 and 4,934

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Solution

The fourth proportional to 13,705.25, 20,545.54 and 4,934 is: 7,396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.25 : 20,545.54 = 4,934 : x
  2. Step 2: Convert to fraction form
    13,705.25/20,545.54 = 4,934/x
  3. Step 3: Cross multiply
    13,705.25x = 20,545.54 × 4,934
  4. Step 4: Simplify right side
    13,705.25x = 101,371,694.36
  5. Step 5: Solve for x
    x = 101,371,694.36/13,705.25
  6. Step 6: Final answer
    x = 7,396.56

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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.