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Finding the Fourth Proportional to 15,760.78, 23,625.22 and 10,217.64

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Solution

The fourth proportional to 15,760.78, 23,625.22 and 10,217.64 is: 15,316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,760.78 : 23,625.22 = 10,217.64 : x
  2. Step 2: Convert to fraction form
    15,760.78/23,625.22 = 10,217.64/x
  3. Step 3: Cross multiply
    15,760.78x = 23,625.22 × 10,217.64
  4. Step 4: Simplify right side
    15,760.78x = 241,394,075.09
  5. Step 5: Solve for x
    x = 241,394,075.09/15,760.78
  6. Step 6: Final answer
    x = 15,316.13

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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.