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Finding the Fourth Proportional to 22,893.12, 34,340.88 and 7,309.50

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Solution

The fourth proportional to 22,893.12, 34,340.88 and 7,309.50 is: 10,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,893.12 : 34,340.88 = 7,309.50 : x
  2. Step 2: Convert to fraction form
    22,893.12/34,340.88 = 7,309.50/x
  3. Step 3: Cross multiply
    22,893.12x = 34,340.88 × 7,309.50
  4. Step 4: Simplify right side
    22,893.12x = 251,014,662.36
  5. Step 5: Solve for x
    x = 251,014,662.36/22,893.12
  6. Step 6: Final answer
    x = 10,964.63

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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.