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Finding the Fourth Proportional to 16,982.73, 23,438.95 and 9,909.13

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Solution

The fourth proportional to 16,982.73, 23,438.95 and 9,909.13 is: 13,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,982.73 : 23,438.95 = 9,909.13 : x
  2. Step 2: Convert to fraction form
    16,982.73/23,438.95 = 9,909.13/x
  3. Step 3: Cross multiply
    16,982.73x = 23,438.95 × 9,909.13
  4. Step 4: Simplify right side
    16,982.73x = 232,259,602.61
  5. Step 5: Solve for x
    x = 232,259,602.61/16,982.73
  6. Step 6: Final answer
    x = 13,676.23

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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.