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Finding the Fourth Proportional to 16,185.57, 24,278.36 and 5,804.61

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Solution

The fourth proportional to 16,185.57, 24,278.36 and 5,804.61 is: 8,706.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185.57 : 24,278.36 = 5,804.61 : x
  2. Step 2: Convert to fraction form
    16,185.57/24,278.36 = 5,804.61/x
  3. Step 3: Cross multiply
    16,185.57x = 24,278.36 × 5,804.61
  4. Step 4: Simplify right side
    16,185.57x = 140,926,382.22
  5. Step 5: Solve for x
    x = 140,926,382.22/16,185.57
  6. Step 6: Final answer
    x = 8,706.92

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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.