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Finding the Fourth Proportional to 16,193.25, 24,289.88 and 4,506.77

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Solution

The fourth proportional to 16,193.25, 24,289.88 and 4,506.77 is: 6,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.25 : 24,289.88 = 4,506.77 : x
  2. Step 2: Convert to fraction form
    16,193.25/24,289.88 = 4,506.77/x
  3. Step 3: Cross multiply
    16,193.25x = 24,289.88 × 4,506.77
  4. Step 4: Simplify right side
    16,193.25x = 109,468,940.68
  5. Step 5: Solve for x
    x = 109,468,940.68/16,193.25
  6. Step 6: Final answer
    x = 6,760.16

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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.