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Finding the Fourth Proportional to 19,082.80, 28,616.10 and 9,225.10

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Solution

The fourth proportional to 19,082.80, 28,616.10 and 9,225.10 is: 13,833.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,082.80 : 28,616.10 = 9,225.10 : x
  2. Step 2: Convert to fraction form
    19,082.80/28,616.10 = 9,225.10/x
  3. Step 3: Cross multiply
    19,082.80x = 28,616.10 × 9,225.10
  4. Step 4: Simplify right side
    19,082.80x = 263,986,384.11
  5. Step 5: Solve for x
    x = 263,986,384.11/19,082.80
  6. Step 6: Final answer
    x = 13,833.73

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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.