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Finding the Fourth Proportional to 20,116.49, 27,762.48 and 11,165.72

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Solution

The fourth proportional to 20,116.49, 27,762.48 and 11,165.72 is: 15,409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,116.49 : 27,762.48 = 11,165.72 : x
  2. Step 2: Convert to fraction form
    20,116.49/27,762.48 = 11,165.72/x
  3. Step 3: Cross multiply
    20,116.49x = 27,762.48 × 11,165.72
  4. Step 4: Simplify right side
    20,116.49x = 309,987,939.37
  5. Step 5: Solve for x
    x = 309,987,939.37/20,116.49
  6. Step 6: Final answer
    x = 15,409.65

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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.