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Finding the Fourth Proportional to 20,093.63, 30,159.05 and 10,240.25

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Solution

The fourth proportional to 20,093.63, 30,159.05 and 10,240.25 is: 15,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,093.63 : 30,159.05 = 10,240.25 : x
  2. Step 2: Convert to fraction form
    20,093.63/30,159.05 = 10,240.25/x
  3. Step 3: Cross multiply
    20,093.63x = 30,159.05 × 10,240.25
  4. Step 4: Simplify right side
    20,093.63x = 308,836,009.77
  5. Step 5: Solve for x
    x = 308,836,009.77/20,093.63
  6. Step 6: Final answer
    x = 15,369.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.