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Finding the Fourth Proportional to 21,380.27, 32,072.94 and 8,908.74

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Solution

The fourth proportional to 21,380.27, 32,072.94 and 8,908.74 is: 13,364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,380.27 : 32,072.94 = 8,908.74 : x
  2. Step 2: Convert to fraction form
    21,380.27/32,072.94 = 8,908.74/x
  3. Step 3: Cross multiply
    21,380.27x = 32,072.94 × 8,908.74
  4. Step 4: Simplify right side
    21,380.27x = 285,729,483.50
  5. Step 5: Solve for x
    x = 285,729,483.50/21,380.27
  6. Step 6: Final answer
    x = 13,364.17

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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.