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Finding the Fourth Proportional to 21,262.92, 31,884.66 and 7,408.68

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Solution

The fourth proportional to 21,262.92, 31,884.66 and 7,408.68 is: 11,109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,262.92 : 31,884.66 = 7,408.68 : x
  2. Step 2: Convert to fraction form
    21,262.92/31,884.66 = 7,408.68/x
  3. Step 3: Cross multiply
    21,262.92x = 31,884.66 × 7,408.68
  4. Step 4: Simplify right side
    21,262.92x = 236,223,242.85
  5. Step 5: Solve for x
    x = 236,223,242.85/21,262.92
  6. Step 6: Final answer
    x = 11,109.63

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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.