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Finding the Fourth Proportional to 22,367.16, 33,551.02 and 9,714

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Solution

The fourth proportional to 22,367.16, 33,551.02 and 9,714 is: 14,571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,367.16 : 33,551.02 = 9,714 : x
  2. Step 2: Convert to fraction form
    22,367.16/33,551.02 = 9,714/x
  3. Step 3: Cross multiply
    22,367.16x = 33,551.02 × 9,714
  4. Step 4: Simplify right side
    22,367.16x = 325,914,608.28
  5. Step 5: Solve for x
    x = 325,914,608.28/22,367.16
  6. Step 6: Final answer
    x = 14,571.12

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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.