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Finding the Fourth Proportional to 12,531, 17,292.78 and 6,942.36

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Solution

The fourth proportional to 12,531, 17,292.78 and 6,942.36 is: 9,580.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531 : 17,292.78 = 6,942.36 : x
  2. Step 2: Convert to fraction form
    12,531/17,292.78 = 6,942.36/x
  3. Step 3: Cross multiply
    12,531x = 17,292.78 × 6,942.36
  4. Step 4: Simplify right side
    12,531x = 120,052,704.16
  5. Step 5: Solve for x
    x = 120,052,704.16/12,531
  6. Step 6: Final answer
    x = 9,580.46

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