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Finding the Fourth Proportional to 21,105.28, 31,648.92 and 6,313.96

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Solution

The fourth proportional to 21,105.28, 31,648.92 and 6,313.96 is: 9,468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105.28 : 31,648.92 = 6,313.96 : x
  2. Step 2: Convert to fraction form
    21,105.28/31,648.92 = 6,313.96/x
  3. Step 3: Cross multiply
    21,105.28x = 31,648.92 × 6,313.96
  4. Step 4: Simplify right side
    21,105.28x = 199,830,014.92
  5. Step 5: Solve for x
    x = 199,830,014.92/21,105.28
  6. Step 6: Final answer
    x = 9,468.25

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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.