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Finding the Fourth Proportional to 16,116, 24,172.88 and 5,585.72

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Solution

The fourth proportional to 16,116, 24,172.88 and 5,585.72 is: 8,378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116 : 24,172.88 = 5,585.72 : x
  2. Step 2: Convert to fraction form
    16,116/24,172.88 = 5,585.72/x
  3. Step 3: Cross multiply
    16,116x = 24,172.88 × 5,585.72
  4. Step 4: Simplify right side
    16,116x = 135,022,939.27
  5. Step 5: Solve for x
    x = 135,022,939.27/16,116
  6. Step 6: Final answer
    x = 8,378.19

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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.