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Finding the Fourth Proportional to 14,491.50, 21,737.25 and 4,103.25

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Solution

The fourth proportional to 14,491.50, 21,737.25 and 4,103.25 is: 6,154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.50 : 21,737.25 = 4,103.25 : x
  2. Step 2: Convert to fraction form
    14,491.50/21,737.25 = 4,103.25/x
  3. Step 3: Cross multiply
    14,491.50x = 21,737.25 × 4,103.25
  4. Step 4: Simplify right side
    14,491.50x = 89,193,371.06
  5. Step 5: Solve for x
    x = 89,193,371.06/14,491.50
  6. Step 6: Final answer
    x = 6,154.88

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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.