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Finding the Fourth Proportional to 18,280.72, 25,227.44 and 9,897.24

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Solution

The fourth proportional to 18,280.72, 25,227.44 and 9,897.24 is: 13,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,280.72 : 25,227.44 = 9,897.24 : x
  2. Step 2: Convert to fraction form
    18,280.72/25,227.44 = 9,897.24/x
  3. Step 3: Cross multiply
    18,280.72x = 25,227.44 × 9,897.24
  4. Step 4: Simplify right side
    18,280.72x = 249,682,028.27
  5. Step 5: Solve for x
    x = 249,682,028.27/18,280.72
  6. Step 6: Final answer
    x = 13,658.22

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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.