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Finding the Fourth Proportional to 15,896.12, 21,937.64 and 8,822.66

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Solution

The fourth proportional to 15,896.12, 21,937.64 and 8,822.66 is: 12,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.12 : 21,937.64 = 8,822.66 : x
  2. Step 2: Convert to fraction form
    15,896.12/21,937.64 = 8,822.66/x
  3. Step 3: Cross multiply
    15,896.12x = 21,937.64 × 8,822.66
  4. Step 4: Simplify right side
    15,896.12x = 193,548,185.12
  5. Step 5: Solve for x
    x = 193,548,185.12/15,896.12
  6. Step 6: Final answer
    x = 12,175.82

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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.