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Finding the Fourth Proportional to 13,706.14, 20,561.15 and 4,219.24

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Solution

The fourth proportional to 13,706.14, 20,561.15 and 4,219.24 is: 6,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.14 : 20,561.15 = 4,219.24 : x
  2. Step 2: Convert to fraction form
    13,706.14/20,561.15 = 4,219.24/x
  3. Step 3: Cross multiply
    13,706.14x = 20,561.15 × 4,219.24
  4. Step 4: Simplify right side
    13,706.14x = 86,752,426.53
  5. Step 5: Solve for x
    x = 86,752,426.53/13,706.14
  6. Step 6: Final answer
    x = 6,329.46

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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.