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Finding the Fourth Proportional to 14,692.55, 22,040.71 and 4,832.82

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Solution

The fourth proportional to 14,692.55, 22,040.71 and 4,832.82 is: 7,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.55 : 22,040.71 = 4,832.82 : x
  2. Step 2: Convert to fraction form
    14,692.55/22,040.71 = 4,832.82/x
  3. Step 3: Cross multiply
    14,692.55x = 22,040.71 × 4,832.82
  4. Step 4: Simplify right side
    14,692.55x = 106,518,772.02
  5. Step 5: Solve for x
    x = 106,518,772.02/14,692.55
  6. Step 6: Final answer
    x = 7,249.85

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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.