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Finding the Fourth Proportional to 14,197.05, 19,590.75 and 8,229.06

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Solution

The fourth proportional to 14,197.05, 19,590.75 and 8,229.06 is: 11,355.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.05 : 19,590.75 = 8,229.06 : x
  2. Step 2: Convert to fraction form
    14,197.05/19,590.75 = 8,229.06/x
  3. Step 3: Cross multiply
    14,197.05x = 19,590.75 × 8,229.06
  4. Step 4: Simplify right side
    14,197.05x = 161,213,457.20
  5. Step 5: Solve for x
    x = 161,213,457.20/14,197.05
  6. Step 6: Final answer
    x = 11,355.42

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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.