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Finding the Fourth Proportional to 20,047.86, 27,665.88 and 11,095.14

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Solution

The fourth proportional to 20,047.86, 27,665.88 and 11,095.14 is: 15,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.86 : 27,665.88 = 11,095.14 : x
  2. Step 2: Convert to fraction form
    20,047.86/27,665.88 = 11,095.14/x
  3. Step 3: Cross multiply
    20,047.86x = 27,665.88 × 11,095.14
  4. Step 4: Simplify right side
    20,047.86x = 306,956,811.82
  5. Step 5: Solve for x
    x = 306,956,811.82/20,047.86
  6. Step 6: Final answer
    x = 15,311.20

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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.