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Finding the Fourth Proportional to 15,768.50, 21,760.68 and 8,695.16

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Solution

The fourth proportional to 15,768.50, 21,760.68 and 8,695.16 is: 11,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768.50 : 21,760.68 = 8,695.16 : x
  2. Step 2: Convert to fraction form
    15,768.50/21,760.68 = 8,695.16/x
  3. Step 3: Cross multiply
    15,768.50x = 21,760.68 × 8,695.16
  4. Step 4: Simplify right side
    15,768.50x = 189,212,594.31
  5. Step 5: Solve for x
    x = 189,212,594.31/15,768.50
  6. Step 6: Final answer
    x = 11,999.40

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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.