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Finding the Fourth Proportional to 16,204.56, 24,311.16 and 5,816.40

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Solution

The fourth proportional to 16,204.56, 24,311.16 and 5,816.40 is: 8,726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.56 : 24,311.16 = 5,816.40 : x
  2. Step 2: Convert to fraction form
    16,204.56/24,311.16 = 5,816.40/x
  3. Step 3: Cross multiply
    16,204.56x = 24,311.16 × 5,816.40
  4. Step 4: Simplify right side
    16,204.56x = 141,403,431.02
  5. Step 5: Solve for x
    x = 141,403,431.02/16,204.56
  6. Step 6: Final answer
    x = 8,726.15

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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.