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Finding the Fourth Proportional to 21,983.58, 30,337.14 and 11,911.80

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Solution

The fourth proportional to 21,983.58, 30,337.14 and 11,911.80 is: 16,438.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,983.58 : 30,337.14 = 11,911.80 : x
  2. Step 2: Convert to fraction form
    21,983.58/30,337.14 = 11,911.80/x
  3. Step 3: Cross multiply
    21,983.58x = 30,337.14 × 11,911.80
  4. Step 4: Simplify right side
    21,983.58x = 361,369,944.25
  5. Step 5: Solve for x
    x = 361,369,944.25/21,983.58
  6. Step 6: Final answer
    x = 16,438.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.