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Finding the Fourth Proportional to 13,791.48, 20,658.54 and 11,445.96

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Solution

The fourth proportional to 13,791.48, 20,658.54 and 11,445.96 is: 17,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.48 : 20,658.54 = 11,445.96 : x
  2. Step 2: Convert to fraction form
    13,791.48/20,658.54 = 11,445.96/x
  3. Step 3: Cross multiply
    13,791.48x = 20,658.54 × 11,445.96
  4. Step 4: Simplify right side
    13,791.48x = 236,456,822.50
  5. Step 5: Solve for x
    x = 236,456,822.50/13,791.48
  6. Step 6: Final answer
    x = 17,145.14

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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.