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Finding the Fourth Proportional to 19,840.68, 29,756.40 and 5,797.60

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Solution

The fourth proportional to 19,840.68, 29,756.40 and 5,797.60 is: 8,695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,840.68 : 29,756.40 = 5,797.60 : x
  2. Step 2: Convert to fraction form
    19,840.68/29,756.40 = 5,797.60/x
  3. Step 3: Cross multiply
    19,840.68x = 29,756.40 × 5,797.60
  4. Step 4: Simplify right side
    19,840.68x = 172,515,704.64
  5. Step 5: Solve for x
    x = 172,515,704.64/19,840.68
  6. Step 6: Final answer
    x = 8,695.05

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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.