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Finding the Fourth Proportional to 23,222.40, 34,843.68 and 10,078.08

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Solution

The fourth proportional to 23,222.40, 34,843.68 and 10,078.08 is: 15,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,222.40 : 34,843.68 = 10,078.08 : x
  2. Step 2: Convert to fraction form
    23,222.40/34,843.68 = 10,078.08/x
  3. Step 3: Cross multiply
    23,222.40x = 34,843.68 × 10,078.08
  4. Step 4: Simplify right side
    23,222.40x = 351,157,394.53
  5. Step 5: Solve for x
    x = 351,157,394.53/23,222.40
  6. Step 6: Final answer
    x = 15,121.49

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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.