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Finding the Fourth Proportional to 20,894.59, 31,342.19 and 6,855.72

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Solution

The fourth proportional to 20,894.59, 31,342.19 and 6,855.72 is: 10,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.59 : 31,342.19 = 6,855.72 : x
  2. Step 2: Convert to fraction form
    20,894.59/31,342.19 = 6,855.72/x
  3. Step 3: Cross multiply
    20,894.59x = 31,342.19 × 6,855.72
  4. Step 4: Simplify right side
    20,894.59x = 214,873,278.83
  5. Step 5: Solve for x
    x = 214,873,278.83/20,894.59
  6. Step 6: Final answer
    x = 10,283.68

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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.