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Finding the Fourth Proportional to 13,870.80, 20,804.15 and 5,103.66

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Solution

The fourth proportional to 13,870.80, 20,804.15 and 5,103.66 is: 7,654.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.80 : 20,804.15 = 5,103.66 : x
  2. Step 2: Convert to fraction form
    13,870.80/20,804.15 = 5,103.66/x
  3. Step 3: Cross multiply
    13,870.80x = 20,804.15 × 5,103.66
  4. Step 4: Simplify right side
    13,870.80x = 106,177,282.67
  5. Step 5: Solve for x
    x = 106,177,282.67/13,870.80
  6. Step 6: Final answer
    x = 7,654.73

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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.