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Finding the Fourth Proportional to 23,167.50, 31,970.97 and 12,556.86

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Solution

The fourth proportional to 23,167.50, 31,970.97 and 12,556.86 is: 17,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,167.50 : 31,970.97 = 12,556.86 : x
  2. Step 2: Convert to fraction form
    23,167.50/31,970.97 = 12,556.86/x
  3. Step 3: Cross multiply
    23,167.50x = 31,970.97 × 12,556.86
  4. Step 4: Simplify right side
    23,167.50x = 401,454,994.35
  5. Step 5: Solve for x
    x = 401,454,994.35/23,167.50
  6. Step 6: Final answer
    x = 17,328.37

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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.