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Finding the Fourth Proportional to 23,322.78, 34,847.68 and 22,506.14

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Solution

The fourth proportional to 23,322.78, 34,847.68 and 22,506.14 is: 33,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,322.78 : 34,847.68 = 22,506.14 : x
  2. Step 2: Convert to fraction form
    23,322.78/34,847.68 = 22,506.14/x
  3. Step 3: Cross multiply
    23,322.78x = 34,847.68 × 22,506.14
  4. Step 4: Simplify right side
    23,322.78x = 784,286,652.22
  5. Step 5: Solve for x
    x = 784,286,652.22/23,322.78
  6. Step 6: Final answer
    x = 33,627.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.