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Finding the Fourth Proportional to 15,768.81, 21,761.19 and 8,695.08

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Solution

The fourth proportional to 15,768.81, 21,761.19 and 8,695.08 is: 11,999.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768.81 : 21,761.19 = 8,695.08 : x
  2. Step 2: Convert to fraction form
    15,768.81/21,761.19 = 8,695.08/x
  3. Step 3: Cross multiply
    15,768.81x = 21,761.19 × 8,695.08
  4. Step 4: Simplify right side
    15,768.81x = 189,215,287.95
  5. Step 5: Solve for x
    x = 189,215,287.95/15,768.81
  6. Step 6: Final answer
    x = 11,999.34

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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.