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Finding the Fourth Proportional to 12,632.83, 17,433.07 and 6,968.10

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Solution

The fourth proportional to 12,632.83, 17,433.07 and 6,968.10 is: 9,615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.83 : 17,433.07 = 6,968.10 : x
  2. Step 2: Convert to fraction form
    12,632.83/17,433.07 = 6,968.10/x
  3. Step 3: Cross multiply
    12,632.83x = 17,433.07 × 6,968.10
  4. Step 4: Simplify right side
    12,632.83x = 121,475,375.07
  5. Step 5: Solve for x
    x = 121,475,375.07/12,632.83
  6. Step 6: Final answer
    x = 9,615.85

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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.