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Finding the Fourth Proportional to 20,100.74, 27,738.54 and 11,148.16

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Solution

The fourth proportional to 20,100.74, 27,738.54 and 11,148.16 is: 15,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,100.74 : 27,738.54 = 11,148.16 : x
  2. Step 2: Convert to fraction form
    20,100.74/27,738.54 = 11,148.16/x
  3. Step 3: Cross multiply
    20,100.74x = 27,738.54 × 11,148.16
  4. Step 4: Simplify right side
    20,100.74x = 309,233,682.09
  5. Step 5: Solve for x
    x = 309,233,682.09/20,100.74
  6. Step 6: Final answer
    x = 15,384.19

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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.