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Finding the Fourth Proportional to 21,783.85, 32,675.76 and 6,201.47

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Solution

The fourth proportional to 21,783.85, 32,675.76 and 6,201.47 is: 9,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,783.85 : 32,675.76 = 6,201.47 : x
  2. Step 2: Convert to fraction form
    21,783.85/32,675.76 = 6,201.47/x
  3. Step 3: Cross multiply
    21,783.85x = 32,675.76 × 6,201.47
  4. Step 4: Simplify right side
    21,783.85x = 202,637,745.37
  5. Step 5: Solve for x
    x = 202,637,745.37/21,783.85
  6. Step 6: Final answer
    x = 9,302.20

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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.