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Finding the Fourth Proportional to 22,536.16, 33,806.24 and 5,895.92

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Solution

The fourth proportional to 22,536.16, 33,806.24 and 5,895.92 is: 8,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536.16 : 33,806.24 = 5,895.92 : x
  2. Step 2: Convert to fraction form
    22,536.16/33,806.24 = 5,895.92/x
  3. Step 3: Cross multiply
    22,536.16x = 33,806.24 × 5,895.92
  4. Step 4: Simplify right side
    22,536.16x = 199,318,886.54
  5. Step 5: Solve for x
    x = 199,318,886.54/22,536.16
  6. Step 6: Final answer
    x = 8,844.40

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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.