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Finding the Fourth Proportional to 22,909.50, 34,364.25 and 7,328.34

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Solution

The fourth proportional to 22,909.50, 34,364.25 and 7,328.34 is: 10,992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.50 : 34,364.25 = 7,328.34 : x
  2. Step 2: Convert to fraction form
    22,909.50/34,364.25 = 7,328.34/x
  3. Step 3: Cross multiply
    22,909.50x = 34,364.25 × 7,328.34
  4. Step 4: Simplify right side
    22,909.50x = 251,832,907.85
  5. Step 5: Solve for x
    x = 251,832,907.85/22,909.50
  6. Step 6: Final answer
    x = 10,992.51

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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.