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Finding the Fourth Proportional to 20,130.72, 30,198.48 and 9,735

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Solution

The fourth proportional to 20,130.72, 30,198.48 and 9,735 is: 14,603.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130.72 : 30,198.48 = 9,735 : x
  2. Step 2: Convert to fraction form
    20,130.72/30,198.48 = 9,735/x
  3. Step 3: Cross multiply
    20,130.72x = 30,198.48 × 9,735
  4. Step 4: Simplify right side
    20,130.72x = 293,982,202.80
  5. Step 5: Solve for x
    x = 293,982,202.80/20,130.72
  6. Step 6: Final answer
    x = 14,603.66

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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.