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Finding the Fourth Proportional to 14,380.82, 19,847.88 and 12,022.10

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Solution

The fourth proportional to 14,380.82, 19,847.88 and 12,022.10 is: 16,592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,380.82 : 19,847.88 = 12,022.10 : x
  2. Step 2: Convert to fraction form
    14,380.82/19,847.88 = 12,022.10/x
  3. Step 3: Cross multiply
    14,380.82x = 19,847.88 × 12,022.10
  4. Step 4: Simplify right side
    14,380.82x = 238,613,098.91
  5. Step 5: Solve for x
    x = 238,613,098.91/14,380.82
  6. Step 6: Final answer
    x = 16,592.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.