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Finding the Fourth Proportional to 23,152.78, 31,950.96 and 12,542.44

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Solution

The fourth proportional to 23,152.78, 31,950.96 and 12,542.44 is: 17,308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152.78 : 31,950.96 = 12,542.44 : x
  2. Step 2: Convert to fraction form
    23,152.78/31,950.96 = 12,542.44/x
  3. Step 3: Cross multiply
    23,152.78x = 31,950.96 × 12,542.44
  4. Step 4: Simplify right side
    23,152.78x = 400,742,998.74
  5. Step 5: Solve for x
    x = 400,742,998.74/23,152.78
  6. Step 6: Final answer
    x = 17,308.63

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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.