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Finding the Fourth Proportional to 16,276.84, 24,390 and 11,288.95

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Solution

The fourth proportional to 16,276.84, 24,390 and 11,288.95 is: 16,915.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276.84 : 24,390 = 11,288.95 : x
  2. Step 2: Convert to fraction form
    16,276.84/24,390 = 11,288.95/x
  3. Step 3: Cross multiply
    16,276.84x = 24,390 × 11,288.95
  4. Step 4: Simplify right side
    16,276.84x = 275,337,429.53
  5. Step 5: Solve for x
    x = 275,337,429.53/16,276.84
  6. Step 6: Final answer
    x = 16,915.90

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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.