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Finding the Fourth Proportional to 15,778.89, 23,645.78 and 11,586

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Solution

The fourth proportional to 15,778.89, 23,645.78 and 11,586 is: 17,362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.89 : 23,645.78 = 11,586 : x
  2. Step 2: Convert to fraction form
    15,778.89/23,645.78 = 11,586/x
  3. Step 3: Cross multiply
    15,778.89x = 23,645.78 × 11,586
  4. Step 4: Simplify right side
    15,778.89x = 273,959,949.15
  5. Step 5: Solve for x
    x = 273,959,949.15/15,778.89
  6. Step 6: Final answer
    x = 17,362.44

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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.