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Finding the Fourth Proportional to 13,852.58, 20,781.70 and 5,087.56

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Solution

The fourth proportional to 13,852.58, 20,781.70 and 5,087.56 is: 7,632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.58 : 20,781.70 = 5,087.56 : x
  2. Step 2: Convert to fraction form
    13,852.58/20,781.70 = 5,087.56/x
  3. Step 3: Cross multiply
    13,852.58x = 20,781.70 × 5,087.56
  4. Step 4: Simplify right side
    13,852.58x = 105,728,145.65
  5. Step 5: Solve for x
    x = 105,728,145.65/13,852.58
  6. Step 6: Final answer
    x = 7,632.38

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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.