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Finding the Fourth Proportional to 14,213.52, 21,320.28 and 3,825

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Solution

The fourth proportional to 14,213.52, 21,320.28 and 3,825 is: 5,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.52 : 21,320.28 = 3,825 : x
  2. Step 2: Convert to fraction form
    14,213.52/21,320.28 = 3,825/x
  3. Step 3: Cross multiply
    14,213.52x = 21,320.28 × 3,825
  4. Step 4: Simplify right side
    14,213.52x = 81,550,071
  5. Step 5: Solve for x
    x = 81,550,071/14,213.52
  6. Step 6: Final answer
    x = 5,737.50

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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.