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Finding the Fourth Proportional to 19,896.12, 27,453.60 and 11,511

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Solution

The fourth proportional to 19,896.12, 27,453.60 and 11,511 is: 15,883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,896.12 : 27,453.60 = 11,511 : x
  2. Step 2: Convert to fraction form
    19,896.12/27,453.60 = 11,511/x
  3. Step 3: Cross multiply
    19,896.12x = 27,453.60 × 11,511
  4. Step 4: Simplify right side
    19,896.12x = 316,018,389.60
  5. Step 5: Solve for x
    x = 316,018,389.60/19,896.12
  6. Step 6: Final answer
    x = 15,883.42

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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.