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Finding the Fourth Proportional to 12,335.11, 18,507.31 and 7,408.19

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Solution

The fourth proportional to 12,335.11, 18,507.31 and 7,408.19 is: 11,115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,335.11 : 18,507.31 = 7,408.19 : x
  2. Step 2: Convert to fraction form
    12,335.11/18,507.31 = 7,408.19/x
  3. Step 3: Cross multiply
    12,335.11x = 18,507.31 × 7,408.19
  4. Step 4: Simplify right side
    12,335.11x = 137,105,696.62
  5. Step 5: Solve for x
    x = 137,105,696.62/12,335.11
  6. Step 6: Final answer
    x = 11,115.08

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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.