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Finding the Fourth Proportional to 16,564.57, 24,846.60 and 6,696.84

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Solution

The fourth proportional to 16,564.57, 24,846.60 and 6,696.84 is: 10,045.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.57 : 24,846.60 = 6,696.84 : x
  2. Step 2: Convert to fraction form
    16,564.57/24,846.60 = 6,696.84/x
  3. Step 3: Cross multiply
    16,564.57x = 24,846.60 × 6,696.84
  4. Step 4: Simplify right side
    16,564.57x = 166,393,704.74
  5. Step 5: Solve for x
    x = 166,393,704.74/16,564.57
  6. Step 6: Final answer
    x = 10,045.16

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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.