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Finding the Fourth Proportional to 14,196.34, 19,590.99 and 8,229.16

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Solution

The fourth proportional to 14,196.34, 19,590.99 and 8,229.16 is: 11,356.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196.34 : 19,590.99 = 8,229.16 : x
  2. Step 2: Convert to fraction form
    14,196.34/19,590.99 = 8,229.16/x
  3. Step 3: Cross multiply
    14,196.34x = 19,590.99 × 8,229.16
  4. Step 4: Simplify right side
    14,196.34x = 161,217,391.27
  5. Step 5: Solve for x
    x = 161,217,391.27/14,196.34
  6. Step 6: Final answer
    x = 11,356.26

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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.