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Finding the Fourth Proportional to 16,862.42, 23,270 and 9,789.50

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Solution

The fourth proportional to 16,862.42, 23,270 and 9,789.50 is: 13,509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,862.42 : 23,270 = 9,789.50 : x
  2. Step 2: Convert to fraction form
    16,862.42/23,270 = 9,789.50/x
  3. Step 3: Cross multiply
    16,862.42x = 23,270 × 9,789.50
  4. Step 4: Simplify right side
    16,862.42x = 227,801,665
  5. Step 5: Solve for x
    x = 227,801,665/16,862.42
  6. Step 6: Final answer
    x = 13,509.43

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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.