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Finding the Fourth Proportional to 16,982.46, 23,423.31 and 9,908.46

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Solution

The fourth proportional to 16,982.46, 23,423.31 and 9,908.46 is: 13,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,982.46 : 23,423.31 = 9,908.46 : x
  2. Step 2: Convert to fraction form
    16,982.46/23,423.31 = 9,908.46/x
  3. Step 3: Cross multiply
    16,982.46x = 23,423.31 × 9,908.46
  4. Step 4: Simplify right side
    16,982.46x = 232,088,930.20
  5. Step 5: Solve for x
    x = 232,088,930.20/16,982.46
  6. Step 6: Final answer
    x = 13,666.39

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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.