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Finding the Fourth Proportional to 14,311.20, 19,750.32 and 8,024.52

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Solution

The fourth proportional to 14,311.20, 19,750.32 and 8,024.52 is: 11,074.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.20 : 19,750.32 = 8,024.52 : x
  2. Step 2: Convert to fraction form
    14,311.20/19,750.32 = 8,024.52/x
  3. Step 3: Cross multiply
    14,311.20x = 19,750.32 × 8,024.52
  4. Step 4: Simplify right side
    14,311.20x = 158,486,837.85
  5. Step 5: Solve for x
    x = 158,486,837.85/14,311.20
  6. Step 6: Final answer
    x = 11,074.32

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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.