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Finding the Fourth Proportional to 16,324.08, 22,526.76 and 9,251.16

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Solution

The fourth proportional to 16,324.08, 22,526.76 and 9,251.16 is: 12,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,324.08 : 22,526.76 = 9,251.16 : x
  2. Step 2: Convert to fraction form
    16,324.08/22,526.76 = 9,251.16/x
  3. Step 3: Cross multiply
    16,324.08x = 22,526.76 × 9,251.16
  4. Step 4: Simplify right side
    16,324.08x = 208,398,661.04
  5. Step 5: Solve for x
    x = 208,398,661.04/16,324.08
  6. Step 6: Final answer
    x = 12,766.33

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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.