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Finding the Fourth Proportional to 19,856.25, 27,401.64 and 11,472.75

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Solution

The fourth proportional to 19,856.25, 27,401.64 and 11,472.75 is: 15,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856.25 : 27,401.64 = 11,472.75 : x
  2. Step 2: Convert to fraction form
    19,856.25/27,401.64 = 11,472.75/x
  3. Step 3: Cross multiply
    19,856.25x = 27,401.64 × 11,472.75
  4. Step 4: Simplify right side
    19,856.25x = 314,372,165.31
  5. Step 5: Solve for x
    x = 314,372,165.31/19,856.25
  6. Step 6: Final answer
    x = 15,832.40

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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.