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Finding the Fourth Proportional to 16,302.78, 22,499.09 and 9,230.27

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Solution

The fourth proportional to 16,302.78, 22,499.09 and 9,230.27 is: 12,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.78 : 22,499.09 = 9,230.27 : x
  2. Step 2: Convert to fraction form
    16,302.78/22,499.09 = 9,230.27/x
  3. Step 3: Cross multiply
    16,302.78x = 22,499.09 × 9,230.27
  4. Step 4: Simplify right side
    16,302.78x = 207,672,516.81
  5. Step 5: Solve for x
    x = 207,672,516.81/16,302.78
  6. Step 6: Final answer
    x = 12,738.47

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1.5x scale

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.