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Finding the Fourth Proportional to 13,761.47, 20,651.93 and 5,441.76

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Solution

The fourth proportional to 13,761.47, 20,651.93 and 5,441.76 is: 8,166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.47 : 20,651.93 = 5,441.76 : x
  2. Step 2: Convert to fraction form
    13,761.47/20,651.93 = 5,441.76/x
  3. Step 3: Cross multiply
    13,761.47x = 20,651.93 × 5,441.76
  4. Step 4: Simplify right side
    13,761.47x = 112,382,846.60
  5. Step 5: Solve for x
    x = 112,382,846.60/13,761.47
  6. Step 6: Final answer
    x = 8,166.49

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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.