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Finding the Fourth Proportional to 21,914.92, 32,881.02 and 8,065

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Solution

The fourth proportional to 21,914.92, 32,881.02 and 8,065 is: 12,100.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,914.92 : 32,881.02 = 8,065 : x
  2. Step 2: Convert to fraction form
    21,914.92/32,881.02 = 8,065/x
  3. Step 3: Cross multiply
    21,914.92x = 32,881.02 × 8,065
  4. Step 4: Simplify right side
    21,914.92x = 265,185,426.30
  5. Step 5: Solve for x
    x = 265,185,426.30/21,914.92
  6. Step 6: Final answer
    x = 12,100.68

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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.