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Finding the Fourth Proportional to 14,265, 21,385.92 and 5,951.24

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Solution

The fourth proportional to 14,265, 21,385.92 and 5,951.24 is: 8,922.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,265 : 21,385.92 = 5,951.24 : x
  2. Step 2: Convert to fraction form
    14,265/21,385.92 = 5,951.24/x
  3. Step 3: Cross multiply
    14,265x = 21,385.92 × 5,951.24
  4. Step 4: Simplify right side
    14,265x = 127,272,742.54
  5. Step 5: Solve for x
    x = 127,272,742.54/14,265
  6. Step 6: Final answer
    x = 8,922.03

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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.