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Finding the Fourth Proportional to 13,723.90, 20,589.04 and 7,057.88

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Solution

The fourth proportional to 13,723.90, 20,589.04 and 7,057.88 is: 10,588.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723.90 : 20,589.04 = 7,057.88 : x
  2. Step 2: Convert to fraction form
    13,723.90/20,589.04 = 7,057.88/x
  3. Step 3: Cross multiply
    13,723.90x = 20,589.04 × 7,057.88
  4. Step 4: Simplify right side
    13,723.90x = 145,314,973.64
  5. Step 5: Solve for x
    x = 145,314,973.64/13,723.90
  6. Step 6: Final answer
    x = 10,588.46

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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.