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Finding the Fourth Proportional to 20,132.81, 30,199.85 and 9,603.97

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Solution

The fourth proportional to 20,132.81, 30,199.85 and 9,603.97 is: 14,406.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132.81 : 30,199.85 = 9,603.97 : x
  2. Step 2: Convert to fraction form
    20,132.81/30,199.85 = 9,603.97/x
  3. Step 3: Cross multiply
    20,132.81x = 30,199.85 × 9,603.97
  4. Step 4: Simplify right side
    20,132.81x = 290,038,443.13
  5. Step 5: Solve for x
    x = 290,038,443.13/20,132.81
  6. Step 6: Final answer
    x = 14,406.26

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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.