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Finding the Fourth Proportional to 13,878.84, 20,809.62 and 6,480.12

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Solution

The fourth proportional to 13,878.84, 20,809.62 and 6,480.12 is: 9,716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.84 : 20,809.62 = 6,480.12 : x
  2. Step 2: Convert to fraction form
    13,878.84/20,809.62 = 6,480.12/x
  3. Step 3: Cross multiply
    13,878.84x = 20,809.62 × 6,480.12
  4. Step 4: Simplify right side
    13,878.84x = 134,848,834.75
  5. Step 5: Solve for x
    x = 134,848,834.75/13,878.84
  6. Step 6: Final answer
    x = 9,716.15

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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.