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Finding the Fourth Proportional to 14,269, 19,696.50 and 10,742.44

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Solution

The fourth proportional to 14,269, 19,696.50 and 10,742.44 is: 14,828.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,269 : 19,696.50 = 10,742.44 : x
  2. Step 2: Convert to fraction form
    14,269/19,696.50 = 10,742.44/x
  3. Step 3: Cross multiply
    14,269x = 19,696.50 × 10,742.44
  4. Step 4: Simplify right side
    14,269x = 211,588,469.46
  5. Step 5: Solve for x
    x = 211,588,469.46/14,269
  6. Step 6: Final answer
    x = 14,828.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.