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Finding the Fourth Proportional to 20,082.94, 30,134.74 and 9,564.89

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Solution

The fourth proportional to 20,082.94, 30,134.74 and 9,564.89 is: 14,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082.94 : 30,134.74 = 9,564.89 : x
  2. Step 2: Convert to fraction form
    20,082.94/30,134.74 = 9,564.89/x
  3. Step 3: Cross multiply
    20,082.94x = 30,134.74 × 9,564.89
  4. Step 4: Simplify right side
    20,082.94x = 288,235,473.28
  5. Step 5: Solve for x
    x = 288,235,473.28/20,082.94
  6. Step 6: Final answer
    x = 14,352.25

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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.