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Finding the Fourth Proportional to 19,794.71, 29,693.09 and 5,003.75

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Solution

The fourth proportional to 19,794.71, 29,693.09 and 5,003.75 is: 7,505.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,794.71 : 29,693.09 = 5,003.75 : x
  2. Step 2: Convert to fraction form
    19,794.71/29,693.09 = 5,003.75/x
  3. Step 3: Cross multiply
    19,794.71x = 29,693.09 × 5,003.75
  4. Step 4: Simplify right side
    19,794.71x = 148,576,848.30
  5. Step 5: Solve for x
    x = 148,576,848.30/19,794.71
  6. Step 6: Final answer
    x = 7,505.89

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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.