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Finding the Fourth Proportional to 19,739.60, 29,614.04 and 6,412.55

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Solution

The fourth proportional to 19,739.60, 29,614.04 and 6,412.55 is: 9,620.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,739.60 : 29,614.04 = 6,412.55 : x
  2. Step 2: Convert to fraction form
    19,739.60/29,614.04 = 6,412.55/x
  3. Step 3: Cross multiply
    19,739.60x = 29,614.04 × 6,412.55
  4. Step 4: Simplify right side
    19,739.60x = 189,901,454.20
  5. Step 5: Solve for x
    x = 189,901,454.20/19,739.60
  6. Step 6: Final answer
    x = 9,620.33

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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.