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Finding the Fourth Proportional to 22,056.30, 33,084.24 and 8,908.50

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Solution

The fourth proportional to 22,056.30, 33,084.24 and 8,908.50 is: 13,362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,056.30 : 33,084.24 = 8,908.50 : x
  2. Step 2: Convert to fraction form
    22,056.30/33,084.24 = 8,908.50/x
  3. Step 3: Cross multiply
    22,056.30x = 33,084.24 × 8,908.50
  4. Step 4: Simplify right side
    22,056.30x = 294,730,952.04
  5. Step 5: Solve for x
    x = 294,730,952.04/22,056.30
  6. Step 6: Final answer
    x = 13,362.67

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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.