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Finding the Fourth Proportional to 16,385.65, 24,583.64 and 5,855.42

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Solution

The fourth proportional to 16,385.65, 24,583.64 and 5,855.42 is: 8,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.65 : 24,583.64 = 5,855.42 : x
  2. Step 2: Convert to fraction form
    16,385.65/24,583.64 = 5,855.42/x
  3. Step 3: Cross multiply
    16,385.65x = 24,583.64 × 5,855.42
  4. Step 4: Simplify right side
    16,385.65x = 143,947,537.33
  5. Step 5: Solve for x
    x = 143,947,537.33/16,385.65
  6. Step 6: Final answer
    x = 8,784.98

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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.