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Finding the Fourth Proportional to 12,884.16, 19,301.76 and 11,511.36

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Solution

The fourth proportional to 12,884.16, 19,301.76 and 11,511.36 is: 17,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.16 : 19,301.76 = 11,511.36 : x
  2. Step 2: Convert to fraction form
    12,884.16/19,301.76 = 11,511.36/x
  3. Step 3: Cross multiply
    12,884.16x = 19,301.76 × 11,511.36
  4. Step 4: Simplify right side
    12,884.16x = 222,189,507.99
  5. Step 5: Solve for x
    x = 222,189,507.99/12,884.16
  6. Step 6: Final answer
    x = 17,245.17

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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.