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Finding the Fourth Proportional to 20,101.64, 27,738.90 and 11,148.80

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Solution

The fourth proportional to 20,101.64, 27,738.90 and 11,148.80 is: 15,384.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.64 : 27,738.90 = 11,148.80 : x
  2. Step 2: Convert to fraction form
    20,101.64/27,738.90 = 11,148.80/x
  3. Step 3: Cross multiply
    20,101.64x = 27,738.90 × 11,148.80
  4. Step 4: Simplify right side
    20,101.64x = 309,255,448.32
  5. Step 5: Solve for x
    x = 309,255,448.32/20,101.64
  6. Step 6: Final answer
    x = 15,384.59

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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.