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Finding the Fourth Proportional to 16,340.94, 24,506.85 and 5,809.62

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Solution

The fourth proportional to 16,340.94, 24,506.85 and 5,809.62 is: 8,712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340.94 : 24,506.85 = 5,809.62 : x
  2. Step 2: Convert to fraction form
    16,340.94/24,506.85 = 5,809.62/x
  3. Step 3: Cross multiply
    16,340.94x = 24,506.85 × 5,809.62
  4. Step 4: Simplify right side
    16,340.94x = 142,375,599.58
  5. Step 5: Solve for x
    x = 142,375,599.58/16,340.94
  6. Step 6: Final answer
    x = 8,712.82

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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.