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Finding the Fourth Proportional to 20,119.76, 27,768.54 and 11,170.13

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Solution

The fourth proportional to 20,119.76, 27,768.54 and 11,170.13 is: 15,416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,119.76 : 27,768.54 = 11,170.13 : x
  2. Step 2: Convert to fraction form
    20,119.76/27,768.54 = 11,170.13/x
  3. Step 3: Cross multiply
    20,119.76x = 27,768.54 × 11,170.13
  4. Step 4: Simplify right side
    20,119.76x = 310,178,201.71
  5. Step 5: Solve for x
    x = 310,178,201.71/20,119.76
  6. Step 6: Final answer
    x = 15,416.60

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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.