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Finding the Fourth Proportional to 12,270.47, 18,407.45 and 3,948.56

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Solution

The fourth proportional to 12,270.47, 18,407.45 and 3,948.56 is: 5,923.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.47 : 18,407.45 = 3,948.56 : x
  2. Step 2: Convert to fraction form
    12,270.47/18,407.45 = 3,948.56/x
  3. Step 3: Cross multiply
    12,270.47x = 18,407.45 × 3,948.56
  4. Step 4: Simplify right side
    12,270.47x = 72,682,823.80
  5. Step 5: Solve for x
    x = 72,682,823.80/12,270.47
  6. Step 6: Final answer
    x = 5,923.39

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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.