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Finding the Fourth Proportional to 12,632.15, 17,432.44 and 6,967.10

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Solution

The fourth proportional to 12,632.15, 17,432.44 and 6,967.10 is: 9,614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.15 : 17,432.44 = 6,967.10 : x
  2. Step 2: Convert to fraction form
    12,632.15/17,432.44 = 6,967.10/x
  3. Step 3: Cross multiply
    12,632.15x = 17,432.44 × 6,967.10
  4. Step 4: Simplify right side
    12,632.15x = 121,453,578.89
  5. Step 5: Solve for x
    x = 121,453,578.89/12,632.15
  6. Step 6: Final answer
    x = 9,614.64

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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.