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Finding the Fourth Proportional to 16,844.43, 23,245.02 and 9,291.47

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Solution

The fourth proportional to 16,844.43, 23,245.02 and 9,291.47 is: 12,822.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,844.43 : 23,245.02 = 9,291.47 : x
  2. Step 2: Convert to fraction form
    16,844.43/23,245.02 = 9,291.47/x
  3. Step 3: Cross multiply
    16,844.43x = 23,245.02 × 9,291.47
  4. Step 4: Simplify right side
    16,844.43x = 215,980,289.75
  5. Step 5: Solve for x
    x = 215,980,289.75/16,844.43
  6. Step 6: Final answer
    x = 12,822.06

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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.