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Finding the Fourth Proportional to 27,711.30, 38,230.74 and 17,082.48

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Solution

The fourth proportional to 27,711.30, 38,230.74 and 17,082.48 is: 23,567.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,711.30 : 38,230.74 = 17,082.48 : x
  2. Step 2: Convert to fraction form
    27,711.30/38,230.74 = 17,082.48/x
  3. Step 3: Cross multiply
    27,711.30x = 38,230.74 × 17,082.48
  4. Step 4: Simplify right side
    27,711.30x = 653,075,851.44
  5. Step 5: Solve for x
    x = 653,075,851.44/27,711.30
  6. Step 6: Final answer
    x = 23,567.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.