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Finding the Fourth Proportional to 16,154.98, 24,236.34 and 7,825.26

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Solution

The fourth proportional to 16,154.98, 24,236.34 and 7,825.26 is: 11,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,154.98 : 24,236.34 = 7,825.26 : x
  2. Step 2: Convert to fraction form
    16,154.98/24,236.34 = 7,825.26/x
  3. Step 3: Cross multiply
    16,154.98x = 24,236.34 × 7,825.26
  4. Step 4: Simplify right side
    16,154.98x = 189,655,677.33
  5. Step 5: Solve for x
    x = 189,655,677.33/16,154.98
  6. Step 6: Final answer
    x = 11,739.77

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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.