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Finding the Fourth Proportional to 16,983.22, 23,439.64 and 9,909.63

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Solution

The fourth proportional to 16,983.22, 23,439.64 and 9,909.63 is: 13,676.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,983.22 : 23,439.64 = 9,909.63 : x
  2. Step 2: Convert to fraction form
    16,983.22/23,439.64 = 9,909.63/x
  3. Step 3: Cross multiply
    16,983.22x = 23,439.64 × 9,909.63
  4. Step 4: Simplify right side
    16,983.22x = 232,278,159.73
  5. Step 5: Solve for x
    x = 232,278,159.73/16,983.22
  6. Step 6: Final answer
    x = 13,676.92

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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.