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Finding the Fourth Proportional to 13,687.84, 20,531.75 and 4,922.75

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Solution

The fourth proportional to 13,687.84, 20,531.75 and 4,922.75 is: 7,384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.84 : 20,531.75 = 4,922.75 : x
  2. Step 2: Convert to fraction form
    13,687.84/20,531.75 = 4,922.75/x
  3. Step 3: Cross multiply
    13,687.84x = 20,531.75 × 4,922.75
  4. Step 4: Simplify right side
    13,687.84x = 101,072,672.31
  5. Step 5: Solve for x
    x = 101,072,672.31/13,687.84
  6. Step 6: Final answer
    x = 7,384.12

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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.