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Finding the Fourth Proportional to 24,846.06, 37,259.97 and 8,201.17

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Solution

The fourth proportional to 24,846.06, 37,259.97 and 8,201.17 is: 12,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,846.06 : 37,259.97 = 8,201.17 : x
  2. Step 2: Convert to fraction form
    24,846.06/37,259.97 = 8,201.17/x
  3. Step 3: Cross multiply
    24,846.06x = 37,259.97 × 8,201.17
  4. Step 4: Simplify right side
    24,846.06x = 305,575,348.16
  5. Step 5: Solve for x
    x = 305,575,348.16/24,846.06
  6. Step 6: Final answer
    x = 12,298.74

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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.