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Finding the Fourth Proportional to 13,388.40, 20,073.66 and 7,144.56

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Solution

The fourth proportional to 13,388.40, 20,073.66 and 7,144.56 is: 10,712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,388.40 : 20,073.66 = 7,144.56 : x
  2. Step 2: Convert to fraction form
    13,388.40/20,073.66 = 7,144.56/x
  3. Step 3: Cross multiply
    13,388.40x = 20,073.66 × 7,144.56
  4. Step 4: Simplify right side
    13,388.40x = 143,417,468.29
  5. Step 5: Solve for x
    x = 143,417,468.29/13,388.40
  6. Step 6: Final answer
    x = 10,712.07

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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.