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Finding the Fourth Proportional to 24,884.10, 37,320.48 and 7,349.76

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Solution

The fourth proportional to 24,884.10, 37,320.48 and 7,349.76 is: 11,022.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,884.10 : 37,320.48 = 7,349.76 : x
  2. Step 2: Convert to fraction form
    24,884.10/37,320.48 = 7,349.76/x
  3. Step 3: Cross multiply
    24,884.10x = 37,320.48 × 7,349.76
  4. Step 4: Simplify right side
    24,884.10x = 274,296,571.08
  5. Step 5: Solve for x
    x = 274,296,571.08/24,884.10
  6. Step 6: Final answer
    x = 11,022.97

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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.