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Finding the Fourth Proportional to 21,783.38, 32,676.89 and 6,201

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Solution

The fourth proportional to 21,783.38, 32,676.89 and 6,201 is: 9,302.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,783.38 : 32,676.89 = 6,201 : x
  2. Step 2: Convert to fraction form
    21,783.38/32,676.89 = 6,201/x
  3. Step 3: Cross multiply
    21,783.38x = 32,676.89 × 6,201
  4. Step 4: Simplify right side
    21,783.38x = 202,629,363.89
  5. Step 5: Solve for x
    x = 202,629,363.89/21,783.38
  6. Step 6: Final answer
    x = 9,302.02

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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.