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Finding the Fourth Proportional to 17,136.10, 25,704.14 and 9,640.15

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Solution

The fourth proportional to 17,136.10, 25,704.14 and 9,640.15 is: 14,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,136.10 : 25,704.14 = 9,640.15 : x
  2. Step 2: Convert to fraction form
    17,136.10/25,704.14 = 9,640.15/x
  3. Step 3: Cross multiply
    17,136.10x = 25,704.14 × 9,640.15
  4. Step 4: Simplify right side
    17,136.10x = 247,791,717.02
  5. Step 5: Solve for x
    x = 247,791,717.02/17,136.10
  6. Step 6: Final answer
    x = 14,460.22

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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.