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Finding the Fourth Proportional to 14,738.78, 20,338.87 and 8,024.43

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Solution

The fourth proportional to 14,738.78, 20,338.87 and 8,024.43 is: 11,073.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,738.78 : 20,338.87 = 8,024.43 : x
  2. Step 2: Convert to fraction form
    14,738.78/20,338.87 = 8,024.43/x
  3. Step 3: Cross multiply
    14,738.78x = 20,338.87 × 8,024.43
  4. Step 4: Simplify right side
    14,738.78x = 163,207,838.59
  5. Step 5: Solve for x
    x = 163,207,838.59/14,738.78
  6. Step 6: Final answer
    x = 11,073.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.