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Finding the Fourth Proportional to 21,924.63, 32,883.29 and 7,881.82

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Solution

The fourth proportional to 21,924.63, 32,883.29 and 7,881.82 is: 11,821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,924.63 : 32,883.29 = 7,881.82 : x
  2. Step 2: Convert to fraction form
    21,924.63/32,883.29 = 7,881.82/x
  3. Step 3: Cross multiply
    21,924.63x = 32,883.29 × 7,881.82
  4. Step 4: Simplify right side
    21,924.63x = 259,180,172.79
  5. Step 5: Solve for x
    x = 259,180,172.79/21,924.63
  6. Step 6: Final answer
    x = 11,821.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.