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Finding the Fourth Proportional to 12,535.56, 18,803.34 and 4,213.22

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Solution

The fourth proportional to 12,535.56, 18,803.34 and 4,213.22 is: 6,319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.56 : 18,803.34 = 4,213.22 : x
  2. Step 2: Convert to fraction form
    12,535.56/18,803.34 = 4,213.22/x
  3. Step 3: Cross multiply
    12,535.56x = 18,803.34 × 4,213.22
  4. Step 4: Simplify right side
    12,535.56x = 79,222,514.14
  5. Step 5: Solve for x
    x = 79,222,514.14/12,535.56
  6. Step 6: Final answer
    x = 6,319.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.