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Finding the Fourth Proportional to 20,590.16, 30,878.30 and 8,106.90

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Solution

The fourth proportional to 20,590.16, 30,878.30 and 8,106.90 is: 12,157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,590.16 : 30,878.30 = 8,106.90 : x
  2. Step 2: Convert to fraction form
    20,590.16/30,878.30 = 8,106.90/x
  3. Step 3: Cross multiply
    20,590.16x = 30,878.30 × 8,106.90
  4. Step 4: Simplify right side
    20,590.16x = 250,327,290.27
  5. Step 5: Solve for x
    x = 250,327,290.27/20,590.16
  6. Step 6: Final answer
    x = 12,157.62

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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.