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Finding the Fourth Proportional to 19,774.72, 27,289.47 and 11,277.82

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Solution

The fourth proportional to 19,774.72, 27,289.47 and 11,277.82 is: 15,563.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.72 : 27,289.47 = 11,277.82 : x
  2. Step 2: Convert to fraction form
    19,774.72/27,289.47 = 11,277.82/x
  3. Step 3: Cross multiply
    19,774.72x = 27,289.47 × 11,277.82
  4. Step 4: Simplify right side
    19,774.72x = 307,765,730.56
  5. Step 5: Solve for x
    x = 307,765,730.56/19,774.72
  6. Step 6: Final answer
    x = 15,563.59

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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.