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Finding the Fourth Proportional to 18,908.42, 28,370.72 and 7,823.16

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Solution

The fourth proportional to 18,908.42, 28,370.72 and 7,823.16 is: 11,738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,908.42 : 28,370.72 = 7,823.16 : x
  2. Step 2: Convert to fraction form
    18,908.42/28,370.72 = 7,823.16/x
  3. Step 3: Cross multiply
    18,908.42x = 28,370.72 × 7,823.16
  4. Step 4: Simplify right side
    18,908.42x = 221,948,701.43
  5. Step 5: Solve for x
    x = 221,948,701.43/18,908.42
  6. Step 6: Final answer
    x = 11,738.09

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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.