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Finding the Fourth Proportional to 16,286.56, 24,416.16 and 11,341.60

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Solution

The fourth proportional to 16,286.56, 24,416.16 and 11,341.60 is: 17,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.56 : 24,416.16 = 11,341.60 : x
  2. Step 2: Convert to fraction form
    16,286.56/24,416.16 = 11,341.60/x
  3. Step 3: Cross multiply
    16,286.56x = 24,416.16 × 11,341.60
  4. Step 4: Simplify right side
    16,286.56x = 276,918,320.26
  5. Step 5: Solve for x
    x = 276,918,320.26/16,286.56
  6. Step 6: Final answer
    x = 17,002.87

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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.