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Finding the Fourth Proportional to 16,409.66, 24,611.85 and 5,877.73

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Solution

The fourth proportional to 16,409.66, 24,611.85 and 5,877.73 is: 8,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.66 : 24,611.85 = 5,877.73 : x
  2. Step 2: Convert to fraction form
    16,409.66/24,611.85 = 5,877.73/x
  3. Step 3: Cross multiply
    16,409.66x = 24,611.85 × 5,877.73
  4. Step 4: Simplify right side
    16,409.66x = 144,661,809.10
  5. Step 5: Solve for x
    x = 144,661,809.10/16,409.66
  6. Step 6: Final answer
    x = 8,815.65

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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.