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Finding the Fourth Proportional to 14,269.88, 21,414.54 and 5,035.88

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Solution

The fourth proportional to 14,269.88, 21,414.54 and 5,035.88 is: 7,557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,269.88 : 21,414.54 = 5,035.88 : x
  2. Step 2: Convert to fraction form
    14,269.88/21,414.54 = 5,035.88/x
  3. Step 3: Cross multiply
    14,269.88x = 21,414.54 × 5,035.88
  4. Step 4: Simplify right side
    14,269.88x = 107,840,921.44
  5. Step 5: Solve for x
    x = 107,840,921.44/14,269.88
  6. Step 6: Final answer
    x = 7,557.24

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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.