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Finding the Fourth Proportional to 14,142.74, 21,217.14 and 4,782.31

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Solution

The fourth proportional to 14,142.74, 21,217.14 and 4,782.31 is: 7,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.74 : 21,217.14 = 4,782.31 : x
  2. Step 2: Convert to fraction form
    14,142.74/21,217.14 = 4,782.31/x
  3. Step 3: Cross multiply
    14,142.74x = 21,217.14 × 4,782.31
  4. Step 4: Simplify right side
    14,142.74x = 101,466,887.75
  5. Step 5: Solve for x
    x = 101,466,887.75/14,142.74
  6. Step 6: Final answer
    x = 7,174.49

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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.