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Finding the Fourth Proportional to 39,516, 59,274 and 16,142.44

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Solution

The fourth proportional to 39,516, 59,274 and 16,142.44 is: 24,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,516 : 59,274 = 16,142.44 : x
  2. Step 2: Convert to fraction form
    39,516/59,274 = 16,142.44/x
  3. Step 3: Cross multiply
    39,516x = 59,274 × 16,142.44
  4. Step 4: Simplify right side
    39,516x = 956,826,988.56
  5. Step 5: Solve for x
    x = 956,826,988.56/39,516
  6. Step 6: Final answer
    x = 24,213.66

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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.