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Finding the Fourth Proportional to 15,771.30, 23,661 and 5,910.66

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Solution

The fourth proportional to 15,771.30, 23,661 and 5,910.66 is: 8,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.30 : 23,661 = 5,910.66 : x
  2. Step 2: Convert to fraction form
    15,771.30/23,661 = 5,910.66/x
  3. Step 3: Cross multiply
    15,771.30x = 23,661 × 5,910.66
  4. Step 4: Simplify right side
    15,771.30x = 139,852,126.26
  5. Step 5: Solve for x
    x = 139,852,126.26/15,771.30
  6. Step 6: Final answer
    x = 8,867.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.