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Finding the Fourth Proportional to 13,708.20, 20,562.30 and 7,803.30

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Solution

The fourth proportional to 13,708.20, 20,562.30 and 7,803.30 is: 11,704.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.20 : 20,562.30 = 7,803.30 : x
  2. Step 2: Convert to fraction form
    13,708.20/20,562.30 = 7,803.30/x
  3. Step 3: Cross multiply
    13,708.20x = 20,562.30 × 7,803.30
  4. Step 4: Simplify right side
    13,708.20x = 160,453,795.59
  5. Step 5: Solve for x
    x = 160,453,795.59/13,708.20
  6. Step 6: Final answer
    x = 11,704.95

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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.