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Finding the Fourth Proportional to 13,759.84, 20,664.04 and 10,250.80

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Solution

The fourth proportional to 13,759.84, 20,664.04 and 10,250.80 is: 15,394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,759.84 : 20,664.04 = 10,250.80 : x
  2. Step 2: Convert to fraction form
    13,759.84/20,664.04 = 10,250.80/x
  3. Step 3: Cross multiply
    13,759.84x = 20,664.04 × 10,250.80
  4. Step 4: Simplify right side
    13,759.84x = 211,822,941.23
  5. Step 5: Solve for x
    x = 211,822,941.23/13,759.84
  6. Step 6: Final answer
    x = 15,394.29

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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.