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Finding the Fourth Proportional to 16,206.33, 24,319.06 and 6,845.74

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Solution

The fourth proportional to 16,206.33, 24,319.06 and 6,845.74 is: 10,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.33 : 24,319.06 = 6,845.74 : x
  2. Step 2: Convert to fraction form
    16,206.33/24,319.06 = 6,845.74/x
  3. Step 3: Cross multiply
    16,206.33x = 24,319.06 × 6,845.74
  4. Step 4: Simplify right side
    16,206.33x = 166,481,971.54
  5. Step 5: Solve for x
    x = 166,481,971.54/16,206.33
  6. Step 6: Final answer
    x = 10,272.65

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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.