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Finding the Fourth Proportional to 21,983.68, 30,332.10 and 13,033.30

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Solution

The fourth proportional to 21,983.68, 30,332.10 and 13,033.30 is: 17,982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,983.68 : 30,332.10 = 13,033.30 : x
  2. Step 2: Convert to fraction form
    21,983.68/30,332.10 = 13,033.30/x
  3. Step 3: Cross multiply
    21,983.68x = 30,332.10 × 13,033.30
  4. Step 4: Simplify right side
    21,983.68x = 395,327,358.93
  5. Step 5: Solve for x
    x = 395,327,358.93/21,983.68
  6. Step 6: Final answer
    x = 17,982.77

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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.