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Finding the Fourth Proportional to 21,227.29, 31,840.62 and 7,184.32

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Solution

The fourth proportional to 21,227.29, 31,840.62 and 7,184.32 is: 10,776.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,227.29 : 31,840.62 = 7,184.32 : x
  2. Step 2: Convert to fraction form
    21,227.29/31,840.62 = 7,184.32/x
  3. Step 3: Cross multiply
    21,227.29x = 31,840.62 × 7,184.32
  4. Step 4: Simplify right side
    21,227.29x = 228,753,203.08
  5. Step 5: Solve for x
    x = 228,753,203.08/21,227.29
  6. Step 6: Final answer
    x = 10,776.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.