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Finding the Fourth Proportional to 23,166.91, 31,970.49 and 12,556.72

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Solution

The fourth proportional to 23,166.91, 31,970.49 and 12,556.72 is: 17,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,166.91 : 31,970.49 = 12,556.72 : x
  2. Step 2: Convert to fraction form
    23,166.91/31,970.49 = 12,556.72/x
  3. Step 3: Cross multiply
    23,166.91x = 31,970.49 × 12,556.72
  4. Step 4: Simplify right side
    23,166.91x = 401,444,491.19
  5. Step 5: Solve for x
    x = 401,444,491.19/23,166.91
  6. Step 6: Final answer
    x = 17,328.36

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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.