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Finding the Fourth Proportional to 20,906.76, 28,852.10 and 11,475.24

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Solution

The fourth proportional to 20,906.76, 28,852.10 and 11,475.24 is: 15,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,906.76 : 28,852.10 = 11,475.24 : x
  2. Step 2: Convert to fraction form
    20,906.76/28,852.10 = 11,475.24/x
  3. Step 3: Cross multiply
    20,906.76x = 28,852.10 × 11,475.24
  4. Step 4: Simplify right side
    20,906.76x = 331,084,772.00
  5. Step 5: Solve for x
    x = 331,084,772.00/20,906.76
  6. Step 6: Final answer
    x = 15,836.25

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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.