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Finding the Fourth Proportional to 23,167, 31,970.28 and 12,556.36

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Solution

The fourth proportional to 23,167, 31,970.28 and 12,556.36 is: 17,327.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,167 : 31,970.28 = 12,556.36 : x
  2. Step 2: Convert to fraction form
    23,167/31,970.28 = 12,556.36/x
  3. Step 3: Cross multiply
    23,167x = 31,970.28 × 12,556.36
  4. Step 4: Simplify right side
    23,167x = 401,430,344.98
  5. Step 5: Solve for x
    x = 401,430,344.98/23,167
  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.