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Finding the Fourth Proportional to 14,062.95, 21,096.86 and 5,747.49

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Solution

The fourth proportional to 14,062.95, 21,096.86 and 5,747.49 is: 8,622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,062.95 : 21,096.86 = 5,747.49 : x
  2. Step 2: Convert to fraction form
    14,062.95/21,096.86 = 5,747.49/x
  3. Step 3: Cross multiply
    14,062.95x = 21,096.86 × 5,747.49
  4. Step 4: Simplify right side
    14,062.95x = 121,253,963.14
  5. Step 5: Solve for x
    x = 121,253,963.14/14,062.95
  6. Step 6: Final answer
    x = 8,622.23

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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.