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Finding the Fourth Proportional to 16,782.10, 25,151.55 and 10,201.30

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Solution

The fourth proportional to 16,782.10, 25,151.55 and 10,201.30 is: 15,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782.10 : 25,151.55 = 10,201.30 : x
  2. Step 2: Convert to fraction form
    16,782.10/25,151.55 = 10,201.30/x
  3. Step 3: Cross multiply
    16,782.10x = 25,151.55 × 10,201.30
  4. Step 4: Simplify right side
    16,782.10x = 256,578,507.02
  5. Step 5: Solve for x
    x = 256,578,507.02/16,782.10
  6. Step 6: Final answer
    x = 15,288.82

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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.