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Finding the Fourth Proportional to 13,821.07, 20,716.82 and 7,885.16

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Solution

The fourth proportional to 13,821.07, 20,716.82 and 7,885.16 is: 11,819.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.07 : 20,716.82 = 7,885.16 : x
  2. Step 2: Convert to fraction form
    13,821.07/20,716.82 = 7,885.16/x
  3. Step 3: Cross multiply
    13,821.07x = 20,716.82 × 7,885.16
  4. Step 4: Simplify right side
    13,821.07x = 163,355,400.97
  5. Step 5: Solve for x
    x = 163,355,400.97/13,821.07
  6. Step 6: Final answer
    x = 11,819.31

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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.