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Finding the Fourth Proportional to 19,126, 28,690.08 and 6,814

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Solution

The fourth proportional to 19,126, 28,690.08 and 6,814 is: 10,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,126 : 28,690.08 = 6,814 : x
  2. Step 2: Convert to fraction form
    19,126/28,690.08 = 6,814/x
  3. Step 3: Cross multiply
    19,126x = 28,690.08 × 6,814
  4. Step 4: Simplify right side
    19,126x = 195,494,205.12
  5. Step 5: Solve for x
    x = 195,494,205.12/19,126
  6. Step 6: Final answer
    x = 10,221.38

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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.