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Finding the Fourth Proportional to 13,914.84, 20,862.32 and 6,515.24

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Solution

The fourth proportional to 13,914.84, 20,862.32 and 6,515.24 is: 9,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.84 : 20,862.32 = 6,515.24 : x
  2. Step 2: Convert to fraction form
    13,914.84/20,862.32 = 6,515.24/x
  3. Step 3: Cross multiply
    13,914.84x = 20,862.32 × 6,515.24
  4. Step 4: Simplify right side
    13,914.84x = 135,923,021.76
  5. Step 5: Solve for x
    x = 135,923,021.76/13,914.84
  6. Step 6: Final answer
    x = 9,768.21

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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.