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Finding the Fourth Proportional to 21,972.84, 32,958.98 and 5,333

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Solution

The fourth proportional to 21,972.84, 32,958.98 and 5,333 is: 7,999.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,972.84 : 32,958.98 = 5,333 : x
  2. Step 2: Convert to fraction form
    21,972.84/32,958.98 = 5,333/x
  3. Step 3: Cross multiply
    21,972.84x = 32,958.98 × 5,333
  4. Step 4: Simplify right side
    21,972.84x = 175,770,240.34
  5. Step 5: Solve for x
    x = 175,770,240.34/21,972.84
  6. Step 6: Final answer
    x = 7,999.43

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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.