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Finding the Fourth Proportional to 23,166.40, 31,969.62 and 12,556

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Solution

The fourth proportional to 23,166.40, 31,969.62 and 12,556 is: 17,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,166.40 : 31,969.62 = 12,556 : x
  2. Step 2: Convert to fraction form
    23,166.40/31,969.62 = 12,556/x
  3. Step 3: Cross multiply
    23,166.40x = 31,969.62 × 12,556
  4. Step 4: Simplify right side
    23,166.40x = 401,410,548.72
  5. Step 5: Solve for x
    x = 401,410,548.72/23,166.40
  6. Step 6: Final answer
    x = 17,327.27

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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.