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Finding the Fourth Proportional to 24,976.94, 37,464.54 and 6,257.14

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Solution

The fourth proportional to 24,976.94, 37,464.54 and 6,257.14 is: 9,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,976.94 : 37,464.54 = 6,257.14 : x
  2. Step 2: Convert to fraction form
    24,976.94/37,464.54 = 6,257.14/x
  3. Step 3: Cross multiply
    24,976.94x = 37,464.54 × 6,257.14
  4. Step 4: Simplify right side
    24,976.94x = 234,420,871.82
  5. Step 5: Solve for x
    x = 234,420,871.82/24,976.94
  6. Step 6: Final answer
    x = 9,385.49

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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.