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Finding the Fourth Proportional to 15,881.83, 21,906.92 and 10,223.97

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Solution

The fourth proportional to 15,881.83, 21,906.92 and 10,223.97 is: 14,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,881.83 : 21,906.92 = 10,223.97 : x
  2. Step 2: Convert to fraction form
    15,881.83/21,906.92 = 10,223.97/x
  3. Step 3: Cross multiply
    15,881.83x = 21,906.92 × 10,223.97
  4. Step 4: Simplify right side
    15,881.83x = 223,975,641.75
  5. Step 5: Solve for x
    x = 223,975,641.75/15,881.83
  6. Step 6: Final answer
    x = 14,102.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.