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Finding the Fourth Proportional to 20,638.39, 30,962.82 and 9,553.06

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Solution

The fourth proportional to 20,638.39, 30,962.82 and 9,553.06 is: 14,332.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,638.39 : 30,962.82 = 9,553.06 : x
  2. Step 2: Convert to fraction form
    20,638.39/30,962.82 = 9,553.06/x
  3. Step 3: Cross multiply
    20,638.39x = 30,962.82 × 9,553.06
  4. Step 4: Simplify right side
    20,638.39x = 295,789,677.23
  5. Step 5: Solve for x
    x = 295,789,677.23/20,638.39
  6. Step 6: Final answer
    x = 14,332.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.