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Finding the Fourth Proportional to 23,152.86, 31,950.72 and 12,542.31

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Solution

The fourth proportional to 23,152.86, 31,950.72 and 12,542.31 is: 17,308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152.86 : 31,950.72 = 12,542.31 : x
  2. Step 2: Convert to fraction form
    23,152.86/31,950.72 = 12,542.31/x
  3. Step 3: Cross multiply
    23,152.86x = 31,950.72 × 12,542.31
  4. Step 4: Simplify right side
    23,152.86x = 400,735,834.96
  5. Step 5: Solve for x
    x = 400,735,834.96/23,152.86
  6. Step 6: Final answer
    x = 17,308.26

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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.