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Finding the Fourth Proportional to 22,576.24, 31,157.40 and 12,505.24

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Solution

The fourth proportional to 22,576.24, 31,157.40 and 12,505.24 is: 17,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576.24 : 31,157.40 = 12,505.24 : x
  2. Step 2: Convert to fraction form
    22,576.24/31,157.40 = 12,505.24/x
  3. Step 3: Cross multiply
    22,576.24x = 31,157.40 × 12,505.24
  4. Step 4: Simplify right side
    22,576.24x = 389,630,764.78
  5. Step 5: Solve for x
    x = 389,630,764.78/22,576.24
  6. Step 6: Final answer
    x = 17,258.44

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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.