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Finding the Fourth Proportional to 22,409.12, 33,624.96 and 9,931.84

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Solution

The fourth proportional to 22,409.12, 33,624.96 and 9,931.84 is: 14,902.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,409.12 : 33,624.96 = 9,931.84 : x
  2. Step 2: Convert to fraction form
    22,409.12/33,624.96 = 9,931.84/x
  3. Step 3: Cross multiply
    22,409.12x = 33,624.96 × 9,931.84
  4. Step 4: Simplify right side
    22,409.12x = 333,957,722.73
  5. Step 5: Solve for x
    x = 333,957,722.73/22,409.12
  6. Step 6: Final answer
    x = 14,902.76

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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.