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Finding the Fourth Proportional to 21,974.34, 32,961.23 and 5,334.50

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Solution

The fourth proportional to 21,974.34, 32,961.23 and 5,334.50 is: 8,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,974.34 : 32,961.23 = 5,334.50 : x
  2. Step 2: Convert to fraction form
    21,974.34/32,961.23 = 5,334.50/x
  3. Step 3: Cross multiply
    21,974.34x = 32,961.23 × 5,334.50
  4. Step 4: Simplify right side
    21,974.34x = 175,831,681.44
  5. Step 5: Solve for x
    x = 175,831,681.44/21,974.34
  6. Step 6: Final answer
    x = 8,001.68

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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.