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Finding the Fourth Proportional to 12,558.14, 17,311.74 and 9,568.80

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Solution

The fourth proportional to 12,558.14, 17,311.74 and 9,568.80 is: 13,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,558.14 : 17,311.74 = 9,568.80 : x
  2. Step 2: Convert to fraction form
    12,558.14/17,311.74 = 9,568.80/x
  3. Step 3: Cross multiply
    12,558.14x = 17,311.74 × 9,568.80
  4. Step 4: Simplify right side
    12,558.14x = 165,652,577.71
  5. Step 5: Solve for x
    x = 165,652,577.71/12,558.14
  6. Step 6: Final answer
    x = 13,190.85

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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.