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Finding the Fourth Proportional to 12,568.32, 18,861.12 and 6,416.64

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Solution

The fourth proportional to 12,568.32, 18,861.12 and 6,416.64 is: 9,629.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.32 : 18,861.12 = 6,416.64 : x
  2. Step 2: Convert to fraction form
    12,568.32/18,861.12 = 6,416.64/x
  3. Step 3: Cross multiply
    12,568.32x = 18,861.12 × 6,416.64
  4. Step 4: Simplify right side
    12,568.32x = 121,025,017.04
  5. Step 5: Solve for x
    x = 121,025,017.04/12,568.32
  6. Step 6: Final answer
    x = 9,629.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.