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Finding the Fourth Proportional to 12,293, 18,436.76 and 5,967.68

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Solution

The fourth proportional to 12,293, 18,436.76 and 5,967.68 is: 8,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293 : 18,436.76 = 5,967.68 : x
  2. Step 2: Convert to fraction form
    12,293/18,436.76 = 5,967.68/x
  3. Step 3: Cross multiply
    12,293x = 18,436.76 × 5,967.68
  4. Step 4: Simplify right side
    12,293x = 110,024,683.92
  5. Step 5: Solve for x
    x = 110,024,683.92/12,293
  6. Step 6: Final answer
    x = 8,950.19

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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.