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Finding the Fourth Proportional to 14,638.50, 21,960.52 and 5,874.10

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Solution

The fourth proportional to 14,638.50, 21,960.52 and 5,874.10 is: 8,812.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.50 : 21,960.52 = 5,874.10 : x
  2. Step 2: Convert to fraction form
    14,638.50/21,960.52 = 5,874.10/x
  3. Step 3: Cross multiply
    14,638.50x = 21,960.52 × 5,874.10
  4. Step 4: Simplify right side
    14,638.50x = 128,998,220.95
  5. Step 5: Solve for x
    x = 128,998,220.95/14,638.50
  6. Step 6: Final answer
    x = 8,812.26

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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.