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Finding the Fourth Proportional to 13,856.48, 19,117.44 and 8,191.44

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Solution

The fourth proportional to 13,856.48, 19,117.44 and 8,191.44 is: 11,301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.48 : 19,117.44 = 8,191.44 : x
  2. Step 2: Convert to fraction form
    13,856.48/19,117.44 = 8,191.44/x
  3. Step 3: Cross multiply
    13,856.48x = 19,117.44 × 8,191.44
  4. Step 4: Simplify right side
    13,856.48x = 156,599,362.71
  5. Step 5: Solve for x
    x = 156,599,362.71/13,856.48
  6. Step 6: Final answer
    x = 11,301.53

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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.