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Finding the Fourth Proportional to 22,409.84, 33,614.76 and 9,247.74

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Solution

The fourth proportional to 22,409.84, 33,614.76 and 9,247.74 is: 13,871.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,409.84 : 33,614.76 = 9,247.74 : x
  2. Step 2: Convert to fraction form
    22,409.84/33,614.76 = 9,247.74/x
  3. Step 3: Cross multiply
    22,409.84x = 33,614.76 × 9,247.74
  4. Step 4: Simplify right side
    22,409.84x = 310,860,560.64
  5. Step 5: Solve for x
    x = 310,860,560.64/22,409.84
  6. Step 6: Final answer
    x = 13,871.61

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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.