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Finding the Fourth Proportional to 16,540.91, 22,825.09 and 9,828.24

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Solution

The fourth proportional to 16,540.91, 22,825.09 and 9,828.24 is: 13,562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.91 : 22,825.09 = 9,828.24 : x
  2. Step 2: Convert to fraction form
    16,540.91/22,825.09 = 9,828.24/x
  3. Step 3: Cross multiply
    16,540.91x = 22,825.09 × 9,828.24
  4. Step 4: Simplify right side
    16,540.91x = 224,330,389.23
  5. Step 5: Solve for x
    x = 224,330,389.23/16,540.91
  6. Step 6: Final answer
    x = 13,562.16

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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.