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Finding the Fourth Proportional to 19,940.53, 29,910.80 and 5,899.47

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Solution

The fourth proportional to 19,940.53, 29,910.80 and 5,899.47 is: 8,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,940.53 : 29,910.80 = 5,899.47 : x
  2. Step 2: Convert to fraction form
    19,940.53/29,910.80 = 5,899.47/x
  3. Step 3: Cross multiply
    19,940.53x = 29,910.80 × 5,899.47
  4. Step 4: Simplify right side
    19,940.53x = 176,457,867.28
  5. Step 5: Solve for x
    x = 176,457,867.28/19,940.53
  6. Step 6: Final answer
    x = 8,849.21

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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.