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Finding the Fourth Proportional to 21,223.37, 31,813.16 and 7,178.78

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Solution

The fourth proportional to 21,223.37, 31,813.16 and 7,178.78 is: 10,760.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,223.37 : 31,813.16 = 7,178.78 : x
  2. Step 2: Convert to fraction form
    21,223.37/31,813.16 = 7,178.78/x
  3. Step 3: Cross multiply
    21,223.37x = 31,813.16 × 7,178.78
  4. Step 4: Simplify right side
    21,223.37x = 228,379,720.38
  5. Step 5: Solve for x
    x = 228,379,720.38/21,223.37
  6. Step 6: Final answer
    x = 10,760.76

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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.