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Finding the Fourth Proportional to 18,582.12, 27,874.62 and 4,731

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Solution

The fourth proportional to 18,582.12, 27,874.62 and 4,731 is: 7,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,582.12 : 27,874.62 = 4,731 : x
  2. Step 2: Convert to fraction form
    18,582.12/27,874.62 = 4,731/x
  3. Step 3: Cross multiply
    18,582.12x = 27,874.62 × 4,731
  4. Step 4: Simplify right side
    18,582.12x = 131,874,827.22
  5. Step 5: Solve for x
    x = 131,874,827.22/18,582.12
  6. Step 6: Final answer
    x = 7,096.87

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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.