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Finding the Fourth Proportional to 22,564.58, 31,138.35 and 12,493.44

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Solution

The fourth proportional to 22,564.58, 31,138.35 and 12,493.44 is: 17,240.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.58 : 31,138.35 = 12,493.44 : x
  2. Step 2: Convert to fraction form
    22,564.58/31,138.35 = 12,493.44/x
  3. Step 3: Cross multiply
    22,564.58x = 31,138.35 × 12,493.44
  4. Step 4: Simplify right side
    22,564.58x = 389,025,107.42
  5. Step 5: Solve for x
    x = 389,025,107.42/22,564.58
  6. Step 6: Final answer
    x = 17,240.52

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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.