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Finding the Fourth Proportional to 24,027.84, 36,028.80 and 9,240.48

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Solution

The fourth proportional to 24,027.84, 36,028.80 and 9,240.48 is: 13,855.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,027.84 : 36,028.80 = 9,240.48 : x
  2. Step 2: Convert to fraction form
    24,027.84/36,028.80 = 9,240.48/x
  3. Step 3: Cross multiply
    24,027.84x = 36,028.80 × 9,240.48
  4. Step 4: Simplify right side
    24,027.84x = 332,923,405.82
  5. Step 5: Solve for x
    x = 332,923,405.82/24,027.84
  6. Step 6: Final answer
    x = 13,855.74

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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.