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Finding the Fourth Proportional to 24,782.68, 37,145.22 and 9,190.36

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Solution

The fourth proportional to 24,782.68, 37,145.22 and 9,190.36 is: 13,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782.68 : 37,145.22 = 9,190.36 : x
  2. Step 2: Convert to fraction form
    24,782.68/37,145.22 = 9,190.36/x
  3. Step 3: Cross multiply
    24,782.68x = 37,145.22 × 9,190.36
  4. Step 4: Simplify right side
    24,782.68x = 341,377,944.08
  5. Step 5: Solve for x
    x = 341,377,944.08/24,782.68
  6. Step 6: Final answer
    x = 13,774.86

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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.