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Finding the Fourth Proportional to 23,010.82, 31,745.01 and 14,506.22

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Solution

The fourth proportional to 23,010.82, 31,745.01 and 14,506.22 is: 20,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,010.82 : 31,745.01 = 14,506.22 : x
  2. Step 2: Convert to fraction form
    23,010.82/31,745.01 = 14,506.22/x
  3. Step 3: Cross multiply
    23,010.82x = 31,745.01 × 14,506.22
  4. Step 4: Simplify right side
    23,010.82x = 460,500,232.72
  5. Step 5: Solve for x
    x = 460,500,232.72/23,010.82
  6. Step 6: Final answer
    x = 20,012.34

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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.