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Finding the Fourth Proportional to 13,815.84, 20,706.44 and 5,909.07

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Solution

The fourth proportional to 13,815.84, 20,706.44 and 5,909.07 is: 8,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.84 : 20,706.44 = 5,909.07 : x
  2. Step 2: Convert to fraction form
    13,815.84/20,706.44 = 5,909.07/x
  3. Step 3: Cross multiply
    13,815.84x = 20,706.44 × 5,909.07
  4. Step 4: Simplify right side
    13,815.84x = 122,355,773.87
  5. Step 5: Solve for x
    x = 122,355,773.87/13,815.84
  6. Step 6: Final answer
    x = 8,856.20

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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.