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Finding the Fourth Proportional to 19,814.43, 29,710.72 and 8,135.85

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Solution

The fourth proportional to 19,814.43, 29,710.72 and 8,135.85 is: 12,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.43 : 29,710.72 = 8,135.85 : x
  2. Step 2: Convert to fraction form
    19,814.43/29,710.72 = 8,135.85/x
  3. Step 3: Cross multiply
    19,814.43x = 29,710.72 × 8,135.85
  4. Step 4: Simplify right side
    19,814.43x = 241,721,961.31
  5. Step 5: Solve for x
    x = 241,721,961.31/19,814.43
  6. Step 6: Final answer
    x = 12,199.29

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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.