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Finding the Fourth Proportional to 14,636.50, 21,954.80 and 3,543.17

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Solution

The fourth proportional to 14,636.50, 21,954.80 and 3,543.17 is: 5,314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,636.50 : 21,954.80 = 3,543.17 : x
  2. Step 2: Convert to fraction form
    14,636.50/21,954.80 = 3,543.17/x
  3. Step 3: Cross multiply
    14,636.50x = 21,954.80 × 3,543.17
  4. Step 4: Simplify right side
    14,636.50x = 77,789,478.94
  5. Step 5: Solve for x
    x = 77,789,478.94/14,636.50
  6. Step 6: Final answer
    x = 5,314.76

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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.