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Finding the Fourth Proportional to 14,738.06, 20,338.88 and 8,024.05

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Solution

The fourth proportional to 14,738.06, 20,338.88 and 8,024.05 is: 11,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,738.06 : 20,338.88 = 8,024.05 : x
  2. Step 2: Convert to fraction form
    14,738.06/20,338.88 = 8,024.05/x
  3. Step 3: Cross multiply
    14,738.06x = 20,338.88 × 8,024.05
  4. Step 4: Simplify right side
    14,738.06x = 163,200,269.66
  5. Step 5: Solve for x
    x = 163,200,269.66/14,738.06
  6. Step 6: Final answer
    x = 11,073.39

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Why These Related Problems?

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