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Finding the Fourth Proportional to 23,166.54, 31,970.03 and 12,556.22

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Solution

The fourth proportional to 23,166.54, 31,970.03 and 12,556.22 is: 17,327.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,166.54 : 31,970.03 = 12,556.22 : x
  2. Step 2: Convert to fraction form
    23,166.54/31,970.03 = 12,556.22/x
  3. Step 3: Cross multiply
    23,166.54x = 31,970.03 × 12,556.22
  4. Step 4: Simplify right side
    23,166.54x = 401,422,507.46
  5. Step 5: Solve for x
    x = 401,422,507.46/23,166.54
  6. Step 6: Final answer
    x = 17,327.68

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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.