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Finding the Fourth Proportional to 13,792, 20,685.51 and 5,898.95

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Solution

The fourth proportional to 13,792, 20,685.51 and 5,898.95 is: 8,847.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792 : 20,685.51 = 5,898.95 : x
  2. Step 2: Convert to fraction form
    13,792/20,685.51 = 5,898.95/x
  3. Step 3: Cross multiply
    13,792x = 20,685.51 × 5,898.95
  4. Step 4: Simplify right side
    13,792x = 122,022,789.21
  5. Step 5: Solve for x
    x = 122,022,789.21/13,792
  6. Step 6: Final answer
    x = 8,847.36

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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.