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Finding the Fourth Proportional to 30,418.14, 45,627.22 and 11,446.35

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Solution

The fourth proportional to 30,418.14, 45,627.22 and 11,446.35 is: 17,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,418.14 : 45,627.22 = 11,446.35 : x
  2. Step 2: Convert to fraction form
    30,418.14/45,627.22 = 11,446.35/x
  3. Step 3: Cross multiply
    30,418.14x = 45,627.22 × 11,446.35
  4. Step 4: Simplify right side
    30,418.14x = 522,265,129.65
  5. Step 5: Solve for x
    x = 522,265,129.65/30,418.14
  6. Step 6: Final answer
    x = 17,169.53

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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.