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Finding the Fourth Proportional to 22,464.50, 33,697.55 and 8,423.10

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Solution

The fourth proportional to 22,464.50, 33,697.55 and 8,423.10 is: 12,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,464.50 : 33,697.55 = 8,423.10 : x
  2. Step 2: Convert to fraction form
    22,464.50/33,697.55 = 8,423.10/x
  3. Step 3: Cross multiply
    22,464.50x = 33,697.55 × 8,423.10
  4. Step 4: Simplify right side
    22,464.50x = 283,837,854.46
  5. Step 5: Solve for x
    x = 283,837,854.46/22,464.50
  6. Step 6: Final answer
    x = 12,634.95

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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.