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Finding the Fourth Proportional to 22,057.74, 30,441.22 and 12,497.54

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Solution

The fourth proportional to 22,057.74, 30,441.22 and 12,497.54 is: 17,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,057.74 : 30,441.22 = 12,497.54 : x
  2. Step 2: Convert to fraction form
    22,057.74/30,441.22 = 12,497.54/x
  3. Step 3: Cross multiply
    22,057.74x = 30,441.22 × 12,497.54
  4. Step 4: Simplify right side
    22,057.74x = 380,440,364.60
  5. Step 5: Solve for x
    x = 380,440,364.60/22,057.74
  6. Step 6: Final answer
    x = 17,247.48

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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.