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Finding the Fourth Proportional to 20,155.78, 27,814.37 and 11,541.67

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Solution

The fourth proportional to 20,155.78, 27,814.37 and 11,541.67 is: 15,927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,155.78 : 27,814.37 = 11,541.67 : x
  2. Step 2: Convert to fraction form
    20,155.78/27,814.37 = 11,541.67/x
  3. Step 3: Cross multiply
    20,155.78x = 27,814.37 × 11,541.67
  4. Step 4: Simplify right side
    20,155.78x = 321,024,279.80
  5. Step 5: Solve for x
    x = 321,024,279.80/20,155.78
  6. Step 6: Final answer
    x = 15,927.16

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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.