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Finding the Fourth Proportional to 15,013.78, 22,515.26 and 5,150.50

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Solution

The fourth proportional to 15,013.78, 22,515.26 and 5,150.50 is: 7,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,013.78 : 22,515.26 = 5,150.50 : x
  2. Step 2: Convert to fraction form
    15,013.78/22,515.26 = 5,150.50/x
  3. Step 3: Cross multiply
    15,013.78x = 22,515.26 × 5,150.50
  4. Step 4: Simplify right side
    15,013.78x = 115,964,846.63
  5. Step 5: Solve for x
    x = 115,964,846.63/15,013.78
  6. Step 6: Final answer
    x = 7,723.89

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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.