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Finding the Fourth Proportional to 12,591.96, 17,334.72 and 9,442.68

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Solution

The fourth proportional to 12,591.96, 17,334.72 and 9,442.68 is: 12,999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.96 : 17,334.72 = 9,442.68 : x
  2. Step 2: Convert to fraction form
    12,591.96/17,334.72 = 9,442.68/x
  3. Step 3: Cross multiply
    12,591.96x = 17,334.72 × 9,442.68
  4. Step 4: Simplify right side
    12,591.96x = 163,686,213.85
  5. Step 5: Solve for x
    x = 163,686,213.85/12,591.96
  6. Step 6: Final answer
    x = 12,999.26

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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.