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Finding the Fourth Proportional to 15,769.16, 21,761.28 and 8,695.64

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Solution

The fourth proportional to 15,769.16, 21,761.28 and 8,695.64 is: 11,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769.16 : 21,761.28 = 8,695.64 : x
  2. Step 2: Convert to fraction form
    15,769.16/21,761.28 = 8,695.64/x
  3. Step 3: Cross multiply
    15,769.16x = 21,761.28 × 8,695.64
  4. Step 4: Simplify right side
    15,769.16x = 189,228,256.82
  5. Step 5: Solve for x
    x = 189,228,256.82/15,769.16
  6. Step 6: Final answer
    x = 11,999.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.