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Finding the Fourth Proportional to 27,788.62, 38,353.14 and 16,464.49

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Solution

The fourth proportional to 27,788.62, 38,353.14 and 16,464.49 is: 22,723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,788.62 : 38,353.14 = 16,464.49 : x
  2. Step 2: Convert to fraction form
    27,788.62/38,353.14 = 16,464.49/x
  3. Step 3: Cross multiply
    27,788.62x = 38,353.14 × 16,464.49
  4. Step 4: Simplify right side
    27,788.62x = 631,464,752.95
  5. Step 5: Solve for x
    x = 631,464,752.95/27,788.62
  6. Step 6: Final answer
    x = 22,723.86

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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.