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Finding the Fourth Proportional to 21,383.59, 32,076.69 and 8,236.00

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Solution

The fourth proportional to 21,383.59, 32,076.69 and 8,236.00 is: 12,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,383.59 : 32,076.69 = 8,236.00 : x
  2. Step 2: Convert to fraction form
    21,383.59/32,076.69 = 8,236.00/x
  3. Step 3: Cross multiply
    21,383.59x = 32,076.69 × 8,236.00
  4. Step 4: Simplify right side
    21,383.59x = 264,183,458.46
  5. Step 5: Solve for x
    x = 264,183,458.46/21,383.59
  6. Step 6: Final answer
    x = 12,354.50

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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.