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Finding the Fourth Proportional to 13,870.81, 20,796.50 and 5,104.59

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Solution

The fourth proportional to 13,870.81, 20,796.50 and 5,104.59 is: 7,653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.81 : 20,796.50 = 5,104.59 : x
  2. Step 2: Convert to fraction form
    13,870.81/20,796.50 = 5,104.59/x
  3. Step 3: Cross multiply
    13,870.81x = 20,796.50 × 5,104.59
  4. Step 4: Simplify right side
    13,870.81x = 106,157,476.43
  5. Step 5: Solve for x
    x = 106,157,476.43/13,870.81
  6. Step 6: Final answer
    x = 7,653.30

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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.