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Finding the Fourth Proportional to 16,654.81, 22,983.64 and 9,202.81

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Solution

The fourth proportional to 16,654.81, 22,983.64 and 9,202.81 is: 12,699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,654.81 : 22,983.64 = 9,202.81 : x
  2. Step 2: Convert to fraction form
    16,654.81/22,983.64 = 9,202.81/x
  3. Step 3: Cross multiply
    16,654.81x = 22,983.64 × 9,202.81
  4. Step 4: Simplify right side
    16,654.81x = 211,514,072.03
  5. Step 5: Solve for x
    x = 211,514,072.03/16,654.81
  6. Step 6: Final answer
    x = 12,699.88

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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.