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Finding the Fourth Proportional to 16,092.54, 24,116.58 and 11,614.50

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Solution

The fourth proportional to 16,092.54, 24,116.58 and 11,614.50 is: 17,405.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,092.54 : 24,116.58 = 11,614.50 : x
  2. Step 2: Convert to fraction form
    16,092.54/24,116.58 = 11,614.50/x
  3. Step 3: Cross multiply
    16,092.54x = 24,116.58 × 11,614.50
  4. Step 4: Simplify right side
    16,092.54x = 280,102,018.41
  5. Step 5: Solve for x
    x = 280,102,018.41/16,092.54
  6. Step 6: Final answer
    x = 17,405.71

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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.