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Finding the Fourth Proportional to 13,705, 20,545.17 and 4,933.75

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Solution

The fourth proportional to 13,705, 20,545.17 and 4,933.75 is: 7,396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705 : 20,545.17 = 4,933.75 : x
  2. Step 2: Convert to fraction form
    13,705/20,545.17 = 4,933.75/x
  3. Step 3: Cross multiply
    13,705x = 20,545.17 × 4,933.75
  4. Step 4: Simplify right side
    13,705x = 101,364,732.49
  5. Step 5: Solve for x
    x = 101,364,732.49/13,705
  6. Step 6: Final answer
    x = 7,396.19

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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.