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Finding the Fourth Proportional to 16,830.78, 25,197.27 and 9,789.30

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Solution

The fourth proportional to 16,830.78, 25,197.27 and 9,789.30 is: 14,655.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830.78 : 25,197.27 = 9,789.30 : x
  2. Step 2: Convert to fraction form
    16,830.78/25,197.27 = 9,789.30/x
  3. Step 3: Cross multiply
    16,830.78x = 25,197.27 × 9,789.30
  4. Step 4: Simplify right side
    16,830.78x = 246,663,635.21
  5. Step 5: Solve for x
    x = 246,663,635.21/16,830.78
  6. Step 6: Final answer
    x = 14,655.51

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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.