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Finding the Fourth Proportional to 19,294.96, 28,945.44 and 6,816.64

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Solution

The fourth proportional to 19,294.96, 28,945.44 and 6,816.64 is: 10,226.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,294.96 : 28,945.44 = 6,816.64 : x
  2. Step 2: Convert to fraction form
    19,294.96/28,945.44 = 6,816.64/x
  3. Step 3: Cross multiply
    19,294.96x = 28,945.44 × 6,816.64
  4. Step 4: Simplify right side
    19,294.96x = 197,310,644.12
  5. Step 5: Solve for x
    x = 197,310,644.12/19,294.96
  6. Step 6: Final answer
    x = 10,226.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.