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Finding the Fourth Proportional to 21,266.16, 31,900.44 and 8,119.58

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Solution

The fourth proportional to 21,266.16, 31,900.44 and 8,119.58 is: 12,179.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,266.16 : 31,900.44 = 8,119.58 : x
  2. Step 2: Convert to fraction form
    21,266.16/31,900.44 = 8,119.58/x
  3. Step 3: Cross multiply
    21,266.16x = 31,900.44 × 8,119.58
  4. Step 4: Simplify right side
    21,266.16x = 259,018,174.62
  5. Step 5: Solve for x
    x = 259,018,174.62/21,266.16
  6. Step 6: Final answer
    x = 12,179.83

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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.