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Finding the Fourth Proportional to 16,294.84, 24,442.95 and 5,764.94

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Solution

The fourth proportional to 16,294.84, 24,442.95 and 5,764.94 is: 8,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.84 : 24,442.95 = 5,764.94 : x
  2. Step 2: Convert to fraction form
    16,294.84/24,442.95 = 5,764.94/x
  3. Step 3: Cross multiply
    16,294.84x = 24,442.95 × 5,764.94
  4. Step 4: Simplify right side
    16,294.84x = 140,912,257.68
  5. Step 5: Solve for x
    x = 140,912,257.68/16,294.84
  6. Step 6: Final answer
    x = 8,647.66

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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.