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Finding the Fourth Proportional to 15,774.23, 21,769.97 and 11,788.43

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Solution

The fourth proportional to 15,774.23, 21,769.97 and 11,788.43 is: 16,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.23 : 21,769.97 = 11,788.43 : x
  2. Step 2: Convert to fraction form
    15,774.23/21,769.97 = 11,788.43/x
  3. Step 3: Cross multiply
    15,774.23x = 21,769.97 × 11,788.43
  4. Step 4: Simplify right side
    15,774.23x = 256,633,599.66
  5. Step 5: Solve for x
    x = 256,633,599.66/15,774.23
  6. Step 6: Final answer
    x = 16,269.17

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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.