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Finding the Fourth Proportional to 22,771.45, 31,424.63 and 12,562.25

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Solution

The fourth proportional to 22,771.45, 31,424.63 and 12,562.25 is: 17,335.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771.45 : 31,424.63 = 12,562.25 : x
  2. Step 2: Convert to fraction form
    22,771.45/31,424.63 = 12,562.25/x
  3. Step 3: Cross multiply
    22,771.45x = 31,424.63 × 12,562.25
  4. Step 4: Simplify right side
    22,771.45x = 394,764,058.22
  5. Step 5: Solve for x
    x = 394,764,058.22/22,771.45
  6. Step 6: Final answer
    x = 17,335.92

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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.