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Finding the Fourth Proportional to 19,691.60, 29,533.37 and 5,647.87

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Solution

The fourth proportional to 19,691.60, 29,533.37 and 5,647.87 is: 8,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,691.60 : 29,533.37 = 5,647.87 : x
  2. Step 2: Convert to fraction form
    19,691.60/29,533.37 = 5,647.87/x
  3. Step 3: Cross multiply
    19,691.60x = 29,533.37 × 5,647.87
  4. Step 4: Simplify right side
    19,691.60x = 166,800,634.42
  5. Step 5: Solve for x
    x = 166,800,634.42/19,691.60
  6. Step 6: Final answer
    x = 8,470.65

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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.