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Finding the Fourth Proportional to 15,874.90, 21,900 and 11,161.96

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Solution

The fourth proportional to 15,874.90, 21,900 and 11,161.96 is: 15,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.90 : 21,900 = 11,161.96 : x
  2. Step 2: Convert to fraction form
    15,874.90/21,900 = 11,161.96/x
  3. Step 3: Cross multiply
    15,874.90x = 21,900 × 11,161.96
  4. Step 4: Simplify right side
    15,874.90x = 244,446,924.00
  5. Step 5: Solve for x
    x = 244,446,924.00/15,874.90
  6. Step 6: Final answer
    x = 15,398.33

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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.