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Finding the Fourth Proportional to 18,853.72, 28,269.74 and 7,768.06

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Solution

The fourth proportional to 18,853.72, 28,269.74 and 7,768.06 is: 11,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,853.72 : 28,269.74 = 7,768.06 : x
  2. Step 2: Convert to fraction form
    18,853.72/28,269.74 = 7,768.06/x
  3. Step 3: Cross multiply
    18,853.72x = 28,269.74 × 7,768.06
  4. Step 4: Simplify right side
    18,853.72x = 219,600,985.25
  5. Step 5: Solve for x
    x = 219,600,985.25/18,853.72
  6. Step 6: Final answer
    x = 11,647.62

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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.