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Finding the Fourth Proportional to 20,106.90, 27,745.47 and 11,152.14

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Solution

The fourth proportional to 20,106.90, 27,745.47 and 11,152.14 is: 15,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106.90 : 27,745.47 = 11,152.14 : x
  2. Step 2: Convert to fraction form
    20,106.90/27,745.47 = 11,152.14/x
  3. Step 3: Cross multiply
    20,106.90x = 27,745.47 × 11,152.14
  4. Step 4: Simplify right side
    20,106.90x = 309,421,365.81
  5. Step 5: Solve for x
    x = 309,421,365.81/20,106.90
  6. Step 6: Final answer
    x = 15,388.82

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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.