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Finding the Fourth Proportional to 16,301.68, 22,496.34 and 9,230.38

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Solution

The fourth proportional to 16,301.68, 22,496.34 and 9,230.38 is: 12,737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.68 : 22,496.34 = 9,230.38 : x
  2. Step 2: Convert to fraction form
    16,301.68/22,496.34 = 9,230.38/x
  3. Step 3: Cross multiply
    16,301.68x = 22,496.34 × 9,230.38
  4. Step 4: Simplify right side
    16,301.68x = 207,649,766.81
  5. Step 5: Solve for x
    x = 207,649,766.81/16,301.68
  6. Step 6: Final answer
    x = 12,737.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.