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Finding the Fourth Proportional to 21,171.94, 31,789.16 and 11,830.30

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Solution

The fourth proportional to 21,171.94, 31,789.16 and 11,830.30 is: 17,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,171.94 : 31,789.16 = 11,830.30 : x
  2. Step 2: Convert to fraction form
    21,171.94/31,789.16 = 11,830.30/x
  3. Step 3: Cross multiply
    21,171.94x = 31,789.16 × 11,830.30
  4. Step 4: Simplify right side
    21,171.94x = 376,075,299.55
  5. Step 5: Solve for x
    x = 376,075,299.55/21,171.94
  6. Step 6: Final answer
    x = 17,762.91

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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.