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Finding the Fourth Proportional to 22,527.20, 33,782.24 and 9,014.24

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Solution

The fourth proportional to 22,527.20, 33,782.24 and 9,014.24 is: 13,517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,527.20 : 33,782.24 = 9,014.24 : x
  2. Step 2: Convert to fraction form
    22,527.20/33,782.24 = 9,014.24/x
  3. Step 3: Cross multiply
    22,527.20x = 33,782.24 × 9,014.24
  4. Step 4: Simplify right side
    22,527.20x = 304,521,219.10
  5. Step 5: Solve for x
    x = 304,521,219.10/22,527.20
  6. Step 6: Final answer
    x = 13,517.93

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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.