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Finding the Fourth Proportional to 19,900.74, 29,851.02 and 5,861.06

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Solution

The fourth proportional to 19,900.74, 29,851.02 and 5,861.06 is: 8,791.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,900.74 : 29,851.02 = 5,861.06 : x
  2. Step 2: Convert to fraction form
    19,900.74/29,851.02 = 5,861.06/x
  3. Step 3: Cross multiply
    19,900.74x = 29,851.02 × 5,861.06
  4. Step 4: Simplify right side
    19,900.74x = 174,958,470.03
  5. Step 5: Solve for x
    x = 174,958,470.03/19,900.74
  6. Step 6: Final answer
    x = 8,791.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.