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Finding the Fourth Proportional to 24,697.37, 37,047.65 and 8,684.94

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Solution

The fourth proportional to 24,697.37, 37,047.65 and 8,684.94 is: 13,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697.37 : 37,047.65 = 8,684.94 : x
  2. Step 2: Convert to fraction form
    24,697.37/37,047.65 = 8,684.94/x
  3. Step 3: Cross multiply
    24,697.37x = 37,047.65 × 8,684.94
  4. Step 4: Simplify right side
    24,697.37x = 321,756,617.39
  5. Step 5: Solve for x
    x = 321,756,617.39/24,697.37
  6. Step 6: Final answer
    x = 13,027.97

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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.