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Finding the Fourth Proportional to 13,791.75, 20,693.70 and 4,557.75

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Solution

The fourth proportional to 13,791.75, 20,693.70 and 4,557.75 is: 6,838.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.75 : 20,693.70 = 4,557.75 : x
  2. Step 2: Convert to fraction form
    13,791.75/20,693.70 = 4,557.75/x
  3. Step 3: Cross multiply
    13,791.75x = 20,693.70 × 4,557.75
  4. Step 4: Simplify right side
    13,791.75x = 94,316,711.18
  5. Step 5: Solve for x
    x = 94,316,711.18/13,791.75
  6. Step 6: Final answer
    x = 6,838.63

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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.