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Finding the Fourth Proportional to 21,188.14, 31,775.24 and 7,144.38

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Solution

The fourth proportional to 21,188.14, 31,775.24 and 7,144.38 is: 10,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188.14 : 31,775.24 = 7,144.38 : x
  2. Step 2: Convert to fraction form
    21,188.14/31,775.24 = 7,144.38/x
  3. Step 3: Cross multiply
    21,188.14x = 31,775.24 × 7,144.38
  4. Step 4: Simplify right side
    21,188.14x = 227,014,389.15
  5. Step 5: Solve for x
    x = 227,014,389.15/21,188.14
  6. Step 6: Final answer
    x = 10,714.22

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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.