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Finding the Fourth Proportional to 19,348.82, 29,024.57 and 7,662

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Solution

The fourth proportional to 19,348.82, 29,024.57 and 7,662 is: 11,493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,348.82 : 29,024.57 = 7,662 : x
  2. Step 2: Convert to fraction form
    19,348.82/29,024.57 = 7,662/x
  3. Step 3: Cross multiply
    19,348.82x = 29,024.57 × 7,662
  4. Step 4: Simplify right side
    19,348.82x = 222,386,274.50
  5. Step 5: Solve for x
    x = 222,386,274.50/19,348.82
  6. Step 6: Final answer
    x = 11,493.53

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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.