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Finding the Fourth Proportional to 20,690.76, 31,035.78 and 5,108.40

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Solution

The fourth proportional to 20,690.76, 31,035.78 and 5,108.40 is: 7,662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,690.76 : 31,035.78 = 5,108.40 : x
  2. Step 2: Convert to fraction form
    20,690.76/31,035.78 = 5,108.40/x
  3. Step 3: Cross multiply
    20,690.76x = 31,035.78 × 5,108.40
  4. Step 4: Simplify right side
    20,690.76x = 158,543,178.55
  5. Step 5: Solve for x
    x = 158,543,178.55/20,690.76
  6. Step 6: Final answer
    x = 7,662.51

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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.