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Finding the Fourth Proportional to 20,224.10, 30,323.19 and 8,534.18

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Solution

The fourth proportional to 20,224.10, 30,323.19 and 8,534.18 is: 12,795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.10 : 30,323.19 = 8,534.18 : x
  2. Step 2: Convert to fraction form
    20,224.10/30,323.19 = 8,534.18/x
  3. Step 3: Cross multiply
    20,224.10x = 30,323.19 × 8,534.18
  4. Step 4: Simplify right side
    20,224.10x = 258,783,561.63
  5. Step 5: Solve for x
    x = 258,783,561.63/20,224.10
  6. Step 6: Final answer
    x = 12,795.80

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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.