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Finding the Fourth Proportional to 15,768.64, 21,760.70 and 8,695.50

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Solution

The fourth proportional to 15,768.64, 21,760.70 and 8,695.50 is: 11,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768.64 : 21,760.70 = 8,695.50 : x
  2. Step 2: Convert to fraction form
    15,768.64/21,760.70 = 8,695.50/x
  3. Step 3: Cross multiply
    15,768.64x = 21,760.70 × 8,695.50
  4. Step 4: Simplify right side
    15,768.64x = 189,220,166.85
  5. Step 5: Solve for x
    x = 189,220,166.85/15,768.64
  6. Step 6: Final answer
    x = 11,999.78

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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.