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Finding the Fourth Proportional to 14,270.50, 21,406.02 and 3,882.52

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Solution

The fourth proportional to 14,270.50, 21,406.02 and 3,882.52 is: 5,823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,270.50 : 21,406.02 = 3,882.52 : x
  2. Step 2: Convert to fraction form
    14,270.50/21,406.02 = 3,882.52/x
  3. Step 3: Cross multiply
    14,270.50x = 21,406.02 × 3,882.52
  4. Step 4: Simplify right side
    14,270.50x = 83,109,300.77
  5. Step 5: Solve for x
    x = 83,109,300.77/14,270.50
  6. Step 6: Final answer
    x = 5,823.85

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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.