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Finding the Fourth Proportional to 22,770.43, 31,423.22 and 12,561.23

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Solution

The fourth proportional to 22,770.43, 31,423.22 and 12,561.23 is: 17,334.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770.43 : 31,423.22 = 12,561.23 : x
  2. Step 2: Convert to fraction form
    22,770.43/31,423.22 = 12,561.23/x
  3. Step 3: Cross multiply
    22,770.43x = 31,423.22 × 12,561.23
  4. Step 4: Simplify right side
    22,770.43x = 394,714,293.76
  5. Step 5: Solve for x
    x = 394,714,293.76/22,770.43
  6. Step 6: Final answer
    x = 17,334.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.