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Finding the Fourth Proportional to 14,689, 22,033.86 and 3,745

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Solution

The fourth proportional to 14,689, 22,033.86 and 3,745 is: 5,617.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689 : 22,033.86 = 3,745 : x
  2. Step 2: Convert to fraction form
    14,689/22,033.86 = 3,745/x
  3. Step 3: Cross multiply
    14,689x = 22,033.86 × 3,745
  4. Step 4: Simplify right side
    14,689x = 82,516,805.70
  5. Step 5: Solve for x
    x = 82,516,805.70/14,689
  6. Step 6: Final answer
    x = 5,617.59

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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.