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Finding the Fourth Proportional to 12,632.78, 17,432.83 and 6,967.76

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Solution

The fourth proportional to 12,632.78, 17,432.83 and 6,967.76 is: 9,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.78 : 17,432.83 = 6,967.76 : x
  2. Step 2: Convert to fraction form
    12,632.78/17,432.83 = 6,967.76/x
  3. Step 3: Cross multiply
    12,632.78x = 17,432.83 × 6,967.76
  4. Step 4: Simplify right side
    12,632.78x = 121,467,801.72
  5. Step 5: Solve for x
    x = 121,467,801.72/12,632.78
  6. Step 6: Final answer
    x = 9,615.28

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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.