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Finding the Fourth Proportional to 27,788.34, 38,349 and 15,213.09

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Solution

The fourth proportional to 27,788.34, 38,349 and 15,213.09 is: 20,994.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,788.34 : 38,349 = 15,213.09 : x
  2. Step 2: Convert to fraction form
    27,788.34/38,349 = 15,213.09/x
  3. Step 3: Cross multiply
    27,788.34x = 38,349 × 15,213.09
  4. Step 4: Simplify right side
    27,788.34x = 583,406,788.41
  5. Step 5: Solve for x
    x = 583,406,788.41/27,788.34
  6. Step 6: Final answer
    x = 20,994.66

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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.