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Finding the Fourth Proportional to 17,646.85, 24,349.53 and 11,676.34

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Solution

The fourth proportional to 17,646.85, 24,349.53 and 11,676.34 is: 16,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.85 : 24,349.53 = 11,676.34 : x
  2. Step 2: Convert to fraction form
    17,646.85/24,349.53 = 11,676.34/x
  3. Step 3: Cross multiply
    17,646.85x = 24,349.53 × 11,676.34
  4. Step 4: Simplify right side
    17,646.85x = 284,313,391.12
  5. Step 5: Solve for x
    x = 284,313,391.12/17,646.85
  6. Step 6: Final answer
    x = 16,111.28

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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.