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Finding the Fourth Proportional to 15,794.37, 23,691.54 and 4,107.27

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Solution

The fourth proportional to 15,794.37, 23,691.54 and 4,107.27 is: 6,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,794.37 : 23,691.54 = 4,107.27 : x
  2. Step 2: Convert to fraction form
    15,794.37/23,691.54 = 4,107.27/x
  3. Step 3: Cross multiply
    15,794.37x = 23,691.54 × 4,107.27
  4. Step 4: Simplify right side
    15,794.37x = 97,307,551.50
  5. Step 5: Solve for x
    x = 97,307,551.50/15,794.37
  6. Step 6: Final answer
    x = 6,160.90

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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.