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Finding the Fourth Proportional to 22,960.50, 34,436.22 and 6,316.26

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Solution

The fourth proportional to 22,960.50, 34,436.22 and 6,316.26 is: 9,473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,960.50 : 34,436.22 = 6,316.26 : x
  2. Step 2: Convert to fraction form
    22,960.50/34,436.22 = 6,316.26/x
  3. Step 3: Cross multiply
    22,960.50x = 34,436.22 × 6,316.26
  4. Step 4: Simplify right side
    22,960.50x = 217,508,118.94
  5. Step 5: Solve for x
    x = 217,508,118.94/22,960.50
  6. Step 6: Final answer
    x = 9,473.14

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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.