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Finding the Fourth Proportional to 22,964.39, 34,454.25 and 8,924.87

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Solution

The fourth proportional to 22,964.39, 34,454.25 and 8,924.87 is: 13,390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.39 : 34,454.25 = 8,924.87 : x
  2. Step 2: Convert to fraction form
    22,964.39/34,454.25 = 8,924.87/x
  3. Step 3: Cross multiply
    22,964.39x = 34,454.25 × 8,924.87
  4. Step 4: Simplify right side
    22,964.39x = 307,499,529.93
  5. Step 5: Solve for x
    x = 307,499,529.93/22,964.39
  6. Step 6: Final answer
    x = 13,390.28

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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.