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Finding the Fourth Proportional to 20,061.63, 30,096.50 and 13,824.63

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Solution

The fourth proportional to 20,061.63, 30,096.50 and 13,824.63 is: 20,739.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,061.63 : 30,096.50 = 13,824.63 : x
  2. Step 2: Convert to fraction form
    20,061.63/30,096.50 = 13,824.63/x
  3. Step 3: Cross multiply
    20,061.63x = 30,096.50 × 13,824.63
  4. Step 4: Simplify right side
    20,061.63x = 416,072,907.67
  5. Step 5: Solve for x
    x = 416,072,907.67/20,061.63
  6. Step 6: Final answer
    x = 20,739.74

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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.