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Finding the Fourth Proportional to 21,783.72, 32,674.76 and 6,201.34

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Solution

The fourth proportional to 21,783.72, 32,674.76 and 6,201.34 is: 9,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,783.72 : 32,674.76 = 6,201.34 : x
  2. Step 2: Convert to fraction form
    21,783.72/32,674.76 = 6,201.34/x
  3. Step 3: Cross multiply
    21,783.72x = 32,674.76 × 6,201.34
  4. Step 4: Simplify right side
    21,783.72x = 202,627,296.18
  5. Step 5: Solve for x
    x = 202,627,296.18/21,783.72
  6. Step 6: Final answer
    x = 9,301.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.