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Finding the Fourth Proportional to 13,189.46, 19,781.97 and 5,791.93

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Solution

The fourth proportional to 13,189.46, 19,781.97 and 5,791.93 is: 8,686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.46 : 19,781.97 = 5,791.93 : x
  2. Step 2: Convert to fraction form
    13,189.46/19,781.97 = 5,791.93/x
  3. Step 3: Cross multiply
    13,189.46x = 19,781.97 × 5,791.93
  4. Step 4: Simplify right side
    13,189.46x = 114,575,785.50
  5. Step 5: Solve for x
    x = 114,575,785.50/13,189.46
  6. Step 6: Final answer
    x = 8,686.92

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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.