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Finding the Fourth Proportional to 13,898.64, 19,196.97 and 10,115.82

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Solution

The fourth proportional to 13,898.64, 19,196.97 and 10,115.82 is: 13,972.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.64 : 19,196.97 = 10,115.82 : x
  2. Step 2: Convert to fraction form
    13,898.64/19,196.97 = 10,115.82/x
  3. Step 3: Cross multiply
    13,898.64x = 19,196.97 × 10,115.82
  4. Step 4: Simplify right side
    13,898.64x = 194,193,093.07
  5. Step 5: Solve for x
    x = 194,193,093.07/13,898.64
  6. Step 6: Final answer
    x = 13,972.09

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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.