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Finding the Fourth Proportional to 13,387.42, 20,039.04 and 9,202.96

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Solution

The fourth proportional to 13,387.42, 20,039.04 and 9,202.96 is: 13,775.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,387.42 : 20,039.04 = 9,202.96 : x
  2. Step 2: Convert to fraction form
    13,387.42/20,039.04 = 9,202.96/x
  3. Step 3: Cross multiply
    13,387.42x = 20,039.04 × 9,202.96
  4. Step 4: Simplify right side
    13,387.42x = 184,418,483.56
  5. Step 5: Solve for x
    x = 184,418,483.56/13,387.42
  6. Step 6: Final answer
    x = 13,775.51

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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.