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Finding the Fourth Proportional to 18,669.07, 27,993.25 and 7,413

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Solution

The fourth proportional to 18,669.07, 27,993.25 and 7,413 is: 11,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,669.07 : 27,993.25 = 7,413 : x
  2. Step 2: Convert to fraction form
    18,669.07/27,993.25 = 7,413/x
  3. Step 3: Cross multiply
    18,669.07x = 27,993.25 × 7,413
  4. Step 4: Simplify right side
    18,669.07x = 207,513,962.25
  5. Step 5: Solve for x
    x = 207,513,962.25/18,669.07
  6. Step 6: Final answer
    x = 11,115.39

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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.