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Finding the Fourth Proportional to 25,739.39, 38,605.02 and 9,942.08

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Solution

The fourth proportional to 25,739.39, 38,605.02 and 9,942.08 is: 14,911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,739.39 : 38,605.02 = 9,942.08 : x
  2. Step 2: Convert to fraction form
    25,739.39/38,605.02 = 9,942.08/x
  3. Step 3: Cross multiply
    25,739.39x = 38,605.02 × 9,942.08
  4. Step 4: Simplify right side
    25,739.39x = 383,814,197.24
  5. Step 5: Solve for x
    x = 383,814,197.24/25,739.39
  6. Step 6: Final answer
    x = 14,911.55

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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.