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Finding the Fourth Proportional to 13,852.88, 20,782.32 and 5,087.84

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Solution

The fourth proportional to 13,852.88, 20,782.32 and 5,087.84 is: 7,632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.88 : 20,782.32 = 5,087.84 : x
  2. Step 2: Convert to fraction form
    13,852.88/20,782.32 = 5,087.84/x
  3. Step 3: Cross multiply
    13,852.88x = 20,782.32 × 5,087.84
  4. Step 4: Simplify right side
    13,852.88x = 105,737,118.99
  5. Step 5: Solve for x
    x = 105,737,118.99/13,852.88
  6. Step 6: Final answer
    x = 7,632.86

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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.