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Finding the Fourth Proportional to 22,322.52, 33,475.88 and 8,991.52

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Solution

The fourth proportional to 22,322.52, 33,475.88 and 8,991.52 is: 13,484.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,322.52 : 33,475.88 = 8,991.52 : x
  2. Step 2: Convert to fraction form
    22,322.52/33,475.88 = 8,991.52/x
  3. Step 3: Cross multiply
    22,322.52x = 33,475.88 × 8,991.52
  4. Step 4: Simplify right side
    22,322.52x = 300,999,044.54
  5. Step 5: Solve for x
    x = 300,999,044.54/22,322.52
  6. Step 6: Final answer
    x = 13,484.10

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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.