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Finding the Fourth Proportional to 22,716.66, 34,078.24 and 7,135.50

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Solution

The fourth proportional to 22,716.66, 34,078.24 and 7,135.50 is: 10,704.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,716.66 : 34,078.24 = 7,135.50 : x
  2. Step 2: Convert to fraction form
    22,716.66/34,078.24 = 7,135.50/x
  3. Step 3: Cross multiply
    22,716.66x = 34,078.24 × 7,135.50
  4. Step 4: Simplify right side
    22,716.66x = 243,165,281.52
  5. Step 5: Solve for x
    x = 243,165,281.52/22,716.66
  6. Step 6: Final answer
    x = 10,704.27

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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.