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Finding the Fourth Proportional to 19,409.28, 26,784 and 11,026.56

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Solution

The fourth proportional to 19,409.28, 26,784 and 11,026.56 is: 15,216.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,409.28 : 26,784 = 11,026.56 : x
  2. Step 2: Convert to fraction form
    19,409.28/26,784 = 11,026.56/x
  3. Step 3: Cross multiply
    19,409.28x = 26,784 × 11,026.56
  4. Step 4: Simplify right side
    19,409.28x = 295,335,383.04
  5. Step 5: Solve for x
    x = 295,335,383.04/19,409.28
  6. Step 6: Final answer
    x = 15,216.19

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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.