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Finding the Fourth Proportional to 18,282, 25,229.34 and 9,898.68

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Solution

The fourth proportional to 18,282, 25,229.34 and 9,898.68 is: 13,660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,282 : 25,229.34 = 9,898.68 : x
  2. Step 2: Convert to fraction form
    18,282/25,229.34 = 9,898.68/x
  3. Step 3: Cross multiply
    18,282x = 25,229.34 × 9,898.68
  4. Step 4: Simplify right side
    18,282x = 249,737,163.27
  5. Step 5: Solve for x
    x = 249,737,163.27/18,282
  6. Step 6: Final answer
    x = 13,660.28

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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.