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Finding the Fourth Proportional to 30,586.22, 45,873.85 and 8,396.68

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Solution

The fourth proportional to 30,586.22, 45,873.85 and 8,396.68 is: 12,593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,586.22 : 45,873.85 = 8,396.68 : x
  2. Step 2: Convert to fraction form
    30,586.22/45,873.85 = 8,396.68/x
  3. Step 3: Cross multiply
    30,586.22x = 45,873.85 × 8,396.68
  4. Step 4: Simplify right side
    30,586.22x = 385,187,767.47
  5. Step 5: Solve for x
    x = 385,187,767.47/30,586.22
  6. Step 6: Final answer
    x = 12,593.51

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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.