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Finding the Fourth Proportional to 19,286.34, 28,932.93 and 6,813.60

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Solution

The fourth proportional to 19,286.34, 28,932.93 and 6,813.60 is: 10,221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,286.34 : 28,932.93 = 6,813.60 : x
  2. Step 2: Convert to fraction form
    19,286.34/28,932.93 = 6,813.60/x
  3. Step 3: Cross multiply
    19,286.34x = 28,932.93 × 6,813.60
  4. Step 4: Simplify right side
    19,286.34x = 197,137,411.85
  5. Step 5: Solve for x
    x = 197,137,411.85/19,286.34
  6. Step 6: Final answer
    x = 10,221.61

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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.