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Finding the Fourth Proportional to 21,535.15, 32,302.73 and 6,745.23

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Solution

The fourth proportional to 21,535.15, 32,302.73 and 6,745.23 is: 10,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,535.15 : 32,302.73 = 6,745.23 : x
  2. Step 2: Convert to fraction form
    21,535.15/32,302.73 = 6,745.23/x
  3. Step 3: Cross multiply
    21,535.15x = 32,302.73 × 6,745.23
  4. Step 4: Simplify right side
    21,535.15x = 217,889,343.48
  5. Step 5: Solve for x
    x = 217,889,343.48/21,535.15
  6. Step 6: Final answer
    x = 10,117.85

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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.