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Finding the Fourth Proportional to 24,847.16, 37,272 and 8,208.68

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Solution

The fourth proportional to 24,847.16, 37,272 and 8,208.68 is: 12,313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,847.16 : 37,272 = 8,208.68 : x
  2. Step 2: Convert to fraction form
    24,847.16/37,272 = 8,208.68/x
  3. Step 3: Cross multiply
    24,847.16x = 37,272 × 8,208.68
  4. Step 4: Simplify right side
    24,847.16x = 305,953,920.96
  5. Step 5: Solve for x
    x = 305,953,920.96/24,847.16
  6. Step 6: Final answer
    x = 12,313.44

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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.