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Finding the Fourth Proportional to 13,852.06, 20,780.80 and 5,087.04

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Solution

The fourth proportional to 13,852.06, 20,780.80 and 5,087.04 is: 7,631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.06 : 20,780.80 = 5,087.04 : x
  2. Step 2: Convert to fraction form
    13,852.06/20,780.80 = 5,087.04/x
  3. Step 3: Cross multiply
    13,852.06x = 20,780.80 × 5,087.04
  4. Step 4: Simplify right side
    13,852.06x = 105,712,760.83
  5. Step 5: Solve for x
    x = 105,712,760.83/13,852.06
  6. Step 6: Final answer
    x = 7,631.56

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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.