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Finding the Fourth Proportional to 17,758.72, 26,638.13 and 4,611.20

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Solution

The fourth proportional to 17,758.72, 26,638.13 and 4,611.20 is: 6,916.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.72 : 26,638.13 = 4,611.20 : x
  2. Step 2: Convert to fraction form
    17,758.72/26,638.13 = 4,611.20/x
  3. Step 3: Cross multiply
    17,758.72x = 26,638.13 × 4,611.20
  4. Step 4: Simplify right side
    17,758.72x = 122,833,745.06
  5. Step 5: Solve for x
    x = 122,833,745.06/17,758.72
  6. Step 6: Final answer
    x = 6,916.81

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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.