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Finding the Fourth Proportional to 16,423.32, 22,664.09 and 9,253.22

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Solution

The fourth proportional to 16,423.32, 22,664.09 and 9,253.22 is: 12,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,423.32 : 22,664.09 = 9,253.22 : x
  2. Step 2: Convert to fraction form
    16,423.32/22,664.09 = 9,253.22/x
  3. Step 3: Cross multiply
    16,423.32x = 22,664.09 × 9,253.22
  4. Step 4: Simplify right side
    16,423.32x = 209,715,651.28
  5. Step 5: Solve for x
    x = 209,715,651.28/16,423.32
  6. Step 6: Final answer
    x = 12,769.38

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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.