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Finding the Fourth Proportional to 16,343.70, 24,498 and 6,469.26

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Solution

The fourth proportional to 16,343.70, 24,498 and 6,469.26 is: 9,696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,343.70 : 24,498 = 6,469.26 : x
  2. Step 2: Convert to fraction form
    16,343.70/24,498 = 6,469.26/x
  3. Step 3: Cross multiply
    16,343.70x = 24,498 × 6,469.26
  4. Step 4: Simplify right side
    16,343.70x = 158,483,931.48
  5. Step 5: Solve for x
    x = 158,483,931.48/16,343.70
  6. Step 6: Final answer
    x = 9,696.94

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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.