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Finding the Fourth Proportional to 29,758.72, 41,068.32 and 17,824

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Solution

The fourth proportional to 29,758.72, 41,068.32 and 17,824 is: 24,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,758.72 : 41,068.32 = 17,824 : x
  2. Step 2: Convert to fraction form
    29,758.72/41,068.32 = 17,824/x
  3. Step 3: Cross multiply
    29,758.72x = 41,068.32 × 17,824
  4. Step 4: Simplify right side
    29,758.72x = 732,001,735.68
  5. Step 5: Solve for x
    x = 732,001,735.68/29,758.72
  6. Step 6: Final answer
    x = 24,597.89

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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.