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Finding the Fourth Proportional to 16,447.35, 24,674.70 and 7,677.48

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Solution

The fourth proportional to 16,447.35, 24,674.70 and 7,677.48 is: 11,517.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.35 : 24,674.70 = 7,677.48 : x
  2. Step 2: Convert to fraction form
    16,447.35/24,674.70 = 7,677.48/x
  3. Step 3: Cross multiply
    16,447.35x = 24,674.70 × 7,677.48
  4. Step 4: Simplify right side
    16,447.35x = 189,439,515.76
  5. Step 5: Solve for x
    x = 189,439,515.76/16,447.35
  6. Step 6: Final answer
    x = 11,517.94

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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.