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Finding the Fourth Proportional to 15,213.78, 22,822.50 and 5,851.62

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Solution

The fourth proportional to 15,213.78, 22,822.50 and 5,851.62 is: 8,778.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,213.78 : 22,822.50 = 5,851.62 : x
  2. Step 2: Convert to fraction form
    15,213.78/22,822.50 = 5,851.62/x
  3. Step 3: Cross multiply
    15,213.78x = 22,822.50 × 5,851.62
  4. Step 4: Simplify right side
    15,213.78x = 133,548,597.45
  5. Step 5: Solve for x
    x = 133,548,597.45/15,213.78
  6. Step 6: Final answer
    x = 8,778.13

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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.