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Finding the Fourth Proportional to 16,144.31, 24,145.64 and 14,377.82

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Solution

The fourth proportional to 16,144.31, 24,145.64 and 14,377.82 is: 21,503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.31 : 24,145.64 = 14,377.82 : x
  2. Step 2: Convert to fraction form
    16,144.31/24,145.64 = 14,377.82/x
  3. Step 3: Cross multiply
    16,144.31x = 24,145.64 × 14,377.82
  4. Step 4: Simplify right side
    16,144.31x = 347,161,654.18
  5. Step 5: Solve for x
    x = 347,161,654.18/16,144.31
  6. Step 6: Final answer
    x = 21,503.66

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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.