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Finding the Fourth Proportional to 20,047.20, 27,665.21 and 12,089.76

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Solution

The fourth proportional to 20,047.20, 27,665.21 and 12,089.76 is: 16,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.20 : 27,665.21 = 12,089.76 : x
  2. Step 2: Convert to fraction form
    20,047.20/27,665.21 = 12,089.76/x
  3. Step 3: Cross multiply
    20,047.20x = 27,665.21 × 12,089.76
  4. Step 4: Simplify right side
    20,047.20x = 334,465,749.25
  5. Step 5: Solve for x
    x = 334,465,749.25/20,047.20
  6. Step 6: Final answer
    x = 16,683.91

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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.