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Finding the Fourth Proportional to 23,167.76, 31,765.17 and 22,946.31

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Solution

The fourth proportional to 23,167.76, 31,765.17 and 22,946.31 is: 31,461.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,167.76 : 31,765.17 = 22,946.31 : x
  2. Step 2: Convert to fraction form
    23,167.76/31,765.17 = 22,946.31/x
  3. Step 3: Cross multiply
    23,167.76x = 31,765.17 × 22,946.31
  4. Step 4: Simplify right side
    23,167.76x = 728,893,438.02
  5. Step 5: Solve for x
    x = 728,893,438.02/23,167.76
  6. Step 6: Final answer
    x = 31,461.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.