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Finding the Fourth Proportional to 21,330.36, 31,997.16 and 5,748.12

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Solution

The fourth proportional to 21,330.36, 31,997.16 and 5,748.12 is: 8,622.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,330.36 : 31,997.16 = 5,748.12 : x
  2. Step 2: Convert to fraction form
    21,330.36/31,997.16 = 5,748.12/x
  3. Step 3: Cross multiply
    21,330.36x = 31,997.16 × 5,748.12
  4. Step 4: Simplify right side
    21,330.36x = 183,923,515.34
  5. Step 5: Solve for x
    x = 183,923,515.34/21,330.36
  6. Step 6: Final answer
    x = 8,622.62

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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.