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Finding the Fourth Proportional to 17,082.88, 25,621.44 and 4,768

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Solution

The fourth proportional to 17,082.88, 25,621.44 and 4,768 is: 7,151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.88 : 25,621.44 = 4,768 : x
  2. Step 2: Convert to fraction form
    17,082.88/25,621.44 = 4,768/x
  3. Step 3: Cross multiply
    17,082.88x = 25,621.44 × 4,768
  4. Step 4: Simplify right side
    17,082.88x = 122,163,025.92
  5. Step 5: Solve for x
    x = 122,163,025.92/17,082.88
  6. Step 6: Final answer
    x = 7,151.20

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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.