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Finding the Fourth Proportional to 21,336.50, 32,008.87 and 8,187.84

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Solution

The fourth proportional to 21,336.50, 32,008.87 and 8,187.84 is: 12,283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,336.50 : 32,008.87 = 8,187.84 : x
  2. Step 2: Convert to fraction form
    21,336.50/32,008.87 = 8,187.84/x
  3. Step 3: Cross multiply
    21,336.50x = 32,008.87 × 8,187.84
  4. Step 4: Simplify right side
    21,336.50x = 262,083,485.67
  5. Step 5: Solve for x
    x = 262,083,485.67/21,336.50
  6. Step 6: Final answer
    x = 12,283.34

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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.