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Finding the Fourth Proportional to 16,466.78, 24,692.70 and 7,102.37

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Solution

The fourth proportional to 16,466.78, 24,692.70 and 7,102.37 is: 10,650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466.78 : 24,692.70 = 7,102.37 : x
  2. Step 2: Convert to fraction form
    16,466.78/24,692.70 = 7,102.37/x
  3. Step 3: Cross multiply
    16,466.78x = 24,692.70 × 7,102.37
  4. Step 4: Simplify right side
    16,466.78x = 175,376,691.70
  5. Step 5: Solve for x
    x = 175,376,691.70/16,466.78
  6. Step 6: Final answer
    x = 10,650.33

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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.