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Finding the Fourth Proportional to 13,924.57, 20,867.90 and 7,675.22

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Solution

The fourth proportional to 13,924.57, 20,867.90 and 7,675.22 is: 11,502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.57 : 20,867.90 = 7,675.22 : x
  2. Step 2: Convert to fraction form
    13,924.57/20,867.90 = 7,675.22/x
  3. Step 3: Cross multiply
    13,924.57x = 20,867.90 × 7,675.22
  4. Step 4: Simplify right side
    13,924.57x = 160,165,619.10
  5. Step 5: Solve for x
    x = 160,165,619.10/13,924.57
  6. Step 6: Final answer
    x = 11,502.37

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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.