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Finding the Fourth Proportional to 14,761.98, 22,142.97 and 5,521.50

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Solution

The fourth proportional to 14,761.98, 22,142.97 and 5,521.50 is: 8,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,761.98 : 22,142.97 = 5,521.50 : x
  2. Step 2: Convert to fraction form
    14,761.98/22,142.97 = 5,521.50/x
  3. Step 3: Cross multiply
    14,761.98x = 22,142.97 × 5,521.50
  4. Step 4: Simplify right side
    14,761.98x = 122,262,408.86
  5. Step 5: Solve for x
    x = 122,262,408.86/14,761.98
  6. Step 6: Final answer
    x = 8,282.25

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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.