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Finding the Fourth Proportional to 22,351.88, 33,533.26 and 8,312.42

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Solution

The fourth proportional to 22,351.88, 33,533.26 and 8,312.42 is: 12,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,351.88 : 33,533.26 = 8,312.42 : x
  2. Step 2: Convert to fraction form
    22,351.88/33,533.26 = 8,312.42/x
  3. Step 3: Cross multiply
    22,351.88x = 33,533.26 × 8,312.42
  4. Step 4: Simplify right side
    22,351.88x = 278,742,604.14
  5. Step 5: Solve for x
    x = 278,742,604.14/22,351.88
  6. Step 6: Final answer
    x = 12,470.65

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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.