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Finding the Fourth Proportional to 15,751.50, 23,633.07 and 7,321.92

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Solution

The fourth proportional to 15,751.50, 23,633.07 and 7,321.92 is: 10,985.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,751.50 : 23,633.07 = 7,321.92 : x
  2. Step 2: Convert to fraction form
    15,751.50/23,633.07 = 7,321.92/x
  3. Step 3: Cross multiply
    15,751.50x = 23,633.07 × 7,321.92
  4. Step 4: Simplify right side
    15,751.50x = 173,039,447.89
  5. Step 5: Solve for x
    x = 173,039,447.89/15,751.50
  6. Step 6: Final answer
    x = 10,985.59

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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.