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Finding the Fourth Proportional to 24,844.69, 37,267.31 and 7,314.85

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Solution

The fourth proportional to 24,844.69, 37,267.31 and 7,314.85 is: 10,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,844.69 : 37,267.31 = 7,314.85 : x
  2. Step 2: Convert to fraction form
    24,844.69/37,267.31 = 7,314.85/x
  3. Step 3: Cross multiply
    24,844.69x = 37,267.31 × 7,314.85
  4. Step 4: Simplify right side
    24,844.69x = 272,604,782.55
  5. Step 5: Solve for x
    x = 272,604,782.55/24,844.69
  6. Step 6: Final answer
    x = 10,972.36

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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.