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Finding the Fourth Proportional to 30,409.23, 45,612.09 and 8,220.90

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Solution

The fourth proportional to 30,409.23, 45,612.09 and 8,220.90 is: 12,330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.23 : 45,612.09 = 8,220.90 : x
  2. Step 2: Convert to fraction form
    30,409.23/45,612.09 = 8,220.90/x
  3. Step 3: Cross multiply
    30,409.23x = 45,612.09 × 8,220.90
  4. Step 4: Simplify right side
    30,409.23x = 374,972,430.68
  5. Step 5: Solve for x
    x = 374,972,430.68/30,409.23
  6. Step 6: Final answer
    x = 12,330.88

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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.