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Finding the Fourth Proportional to 20,185.68, 27,856.08 and 11,233.74

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Solution

The fourth proportional to 20,185.68, 27,856.08 and 11,233.74 is: 15,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,185.68 : 27,856.08 = 11,233.74 : x
  2. Step 2: Convert to fraction form
    20,185.68/27,856.08 = 11,233.74/x
  3. Step 3: Cross multiply
    20,185.68x = 27,856.08 × 11,233.74
  4. Step 4: Simplify right side
    20,185.68x = 312,927,960.14
  5. Step 5: Solve for x
    x = 312,927,960.14/20,185.68
  6. Step 6: Final answer
    x = 15,502.47

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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.