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Finding the Fourth Proportional to 12,704.40, 17,537.04 and 9,172.32

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Solution

The fourth proportional to 12,704.40, 17,537.04 and 9,172.32 is: 12,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.40 : 17,537.04 = 9,172.32 : x
  2. Step 2: Convert to fraction form
    12,704.40/17,537.04 = 9,172.32/x
  3. Step 3: Cross multiply
    12,704.40x = 17,537.04 × 9,172.32
  4. Step 4: Simplify right side
    12,704.40x = 160,855,342.73
  5. Step 5: Solve for x
    x = 160,855,342.73/12,704.40
  6. Step 6: Final answer
    x = 12,661.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.