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Finding the Fourth Proportional to 24,977.60, 37,462.26 and 7,443.32

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Solution

The fourth proportional to 24,977.60, 37,462.26 and 7,443.32 is: 11,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,977.60 : 37,462.26 = 7,443.32 : x
  2. Step 2: Convert to fraction form
    24,977.60/37,462.26 = 7,443.32/x
  3. Step 3: Cross multiply
    24,977.60x = 37,462.26 × 7,443.32
  4. Step 4: Simplify right side
    24,977.60x = 278,843,589.10
  5. Step 5: Solve for x
    x = 278,843,589.10/24,977.60
  6. Step 6: Final answer
    x = 11,163.75

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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.