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Finding the Fourth Proportional to 41,516, 62,274.54 and 13,814

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Solution

The fourth proportional to 41,516, 62,274.54 and 13,814 is: 20,721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,516 : 62,274.54 = 13,814 : x
  2. Step 2: Convert to fraction form
    41,516/62,274.54 = 13,814/x
  3. Step 3: Cross multiply
    41,516x = 62,274.54 × 13,814
  4. Step 4: Simplify right side
    41,516x = 860,260,495.56
  5. Step 5: Solve for x
    x = 860,260,495.56/41,516
  6. Step 6: Final answer
    x = 20,721.18

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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.