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Finding the Fourth Proportional to 22,378.34, 33,574.18 and 9,231.50

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Solution

The fourth proportional to 22,378.34, 33,574.18 and 9,231.50 is: 13,850.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.34 : 33,574.18 = 9,231.50 : x
  2. Step 2: Convert to fraction form
    22,378.34/33,574.18 = 9,231.50/x
  3. Step 3: Cross multiply
    22,378.34x = 33,574.18 × 9,231.50
  4. Step 4: Simplify right side
    22,378.34x = 309,940,042.67
  5. Step 5: Solve for x
    x = 309,940,042.67/22,378.34
  6. Step 6: Final answer
    x = 13,850.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.