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Finding the Fourth Proportional to 20,894.96, 31,320.41 and 6,851.32

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Solution

The fourth proportional to 20,894.96, 31,320.41 and 6,851.32 is: 10,269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.96 : 31,320.41 = 6,851.32 : x
  2. Step 2: Convert to fraction form
    20,894.96/31,320.41 = 6,851.32/x
  3. Step 3: Cross multiply
    20,894.96x = 31,320.41 × 6,851.32
  4. Step 4: Simplify right side
    20,894.96x = 214,586,038.88
  5. Step 5: Solve for x
    x = 214,586,038.88/20,894.96
  6. Step 6: Final answer
    x = 10,269.75

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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.