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Finding the Fourth Proportional to 12,057.78, 18,055.21 and 9,704.94

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Solution

The fourth proportional to 12,057.78, 18,055.21 and 9,704.94 is: 14,532.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.78 : 18,055.21 = 9,704.94 : x
  2. Step 2: Convert to fraction form
    12,057.78/18,055.21 = 9,704.94/x
  3. Step 3: Cross multiply
    12,057.78x = 18,055.21 × 9,704.94
  4. Step 4: Simplify right side
    12,057.78x = 175,224,729.74
  5. Step 5: Solve for x
    x = 175,224,729.74/12,057.78
  6. Step 6: Final answer
    x = 14,532.09

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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.