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Finding the Fourth Proportional to 13,238.40, 18,269.44 and 7,574.08

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Solution

The fourth proportional to 13,238.40, 18,269.44 and 7,574.08 is: 10,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.40 : 18,269.44 = 7,574.08 : x
  2. Step 2: Convert to fraction form
    13,238.40/18,269.44 = 7,574.08/x
  3. Step 3: Cross multiply
    13,238.40x = 18,269.44 × 7,574.08
  4. Step 4: Simplify right side
    13,238.40x = 138,374,200.12
  5. Step 5: Solve for x
    x = 138,374,200.12/13,238.40
  6. Step 6: Final answer
    x = 10,452.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.