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Finding the Fourth Proportional to 23,167, 31,970.46 and 12,556.60

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Solution

The fourth proportional to 23,167, 31,970.46 and 12,556.60 is: 17,328.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,167 : 31,970.46 = 12,556.60 : x
  2. Step 2: Convert to fraction form
    23,167/31,970.46 = 12,556.60/x
  3. Step 3: Cross multiply
    23,167x = 31,970.46 × 12,556.60
  4. Step 4: Simplify right side
    23,167x = 401,440,278.04
  5. Step 5: Solve for x
    x = 401,440,278.04/23,167
  6. Step 6: Final answer
    x = 17,328.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.