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Finding the Fourth Proportional to 12,851.89, 19,224.53 and 12,064.57

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Solution

The fourth proportional to 12,851.89, 19,224.53 and 12,064.57 is: 18,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.89 : 19,224.53 = 12,064.57 : x
  2. Step 2: Convert to fraction form
    12,851.89/19,224.53 = 12,064.57/x
  3. Step 3: Cross multiply
    12,851.89x = 19,224.53 × 12,064.57
  4. Step 4: Simplify right side
    12,851.89x = 231,935,661.86
  5. Step 5: Solve for x
    x = 231,935,661.86/12,851.89
  6. Step 6: Final answer
    x = 18,046.81

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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.