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Finding the Fourth Proportional to 12,125.76, 18,171.54 and 9,649.56

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Solution

The fourth proportional to 12,125.76, 18,171.54 and 9,649.56 is: 14,460.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,125.76 : 18,171.54 = 9,649.56 : x
  2. Step 2: Convert to fraction form
    12,125.76/18,171.54 = 9,649.56/x
  3. Step 3: Cross multiply
    12,125.76x = 18,171.54 × 9,649.56
  4. Step 4: Simplify right side
    12,125.76x = 175,347,365.52
  5. Step 5: Solve for x
    x = 175,347,365.52/12,125.76
  6. Step 6: Final answer
    x = 14,460.73

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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.