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Finding the Fourth Proportional to 25,789.23, 38,677.77 and 9,986.13

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Solution

The fourth proportional to 25,789.23, 38,677.77 and 9,986.13 is: 14,976.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,789.23 : 38,677.77 = 9,986.13 : x
  2. Step 2: Convert to fraction form
    25,789.23/38,677.77 = 9,986.13/x
  3. Step 3: Cross multiply
    25,789.23x = 38,677.77 × 9,986.13
  4. Step 4: Simplify right side
    25,789.23x = 386,241,239.33
  5. Step 5: Solve for x
    x = 386,241,239.33/25,789.23
  6. Step 6: Final answer
    x = 14,976.84

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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.