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Finding the Fourth Proportional to 21,224.13, 31,814.28 and 7,179.54

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Solution

The fourth proportional to 21,224.13, 31,814.28 and 7,179.54 is: 10,761.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.13 : 31,814.28 = 7,179.54 : x
  2. Step 2: Convert to fraction form
    21,224.13/31,814.28 = 7,179.54/x
  3. Step 3: Cross multiply
    21,224.13x = 31,814.28 × 7,179.54
  4. Step 4: Simplify right side
    21,224.13x = 228,411,895.83
  5. Step 5: Solve for x
    x = 228,411,895.83/21,224.13
  6. Step 6: Final answer
    x = 10,761.90

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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.