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Finding the Fourth Proportional to 20,645.42, 30,963.47 and 9,546.03

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Solution

The fourth proportional to 20,645.42, 30,963.47 and 9,546.03 is: 14,316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,645.42 : 30,963.47 = 9,546.03 : x
  2. Step 2: Convert to fraction form
    20,645.42/30,963.47 = 9,546.03/x
  3. Step 3: Cross multiply
    20,645.42x = 30,963.47 × 9,546.03
  4. Step 4: Simplify right side
    20,645.42x = 295,578,165.79
  5. Step 5: Solve for x
    x = 295,578,165.79/20,645.42
  6. Step 6: Final answer
    x = 14,316.89

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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.