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Finding the Fourth Proportional to 23,668.24, 32,662.28 and 13,058

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Solution

The fourth proportional to 23,668.24, 32,662.28 and 13,058 is: 18,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,668.24 : 32,662.28 = 13,058 : x
  2. Step 2: Convert to fraction form
    23,668.24/32,662.28 = 13,058/x
  3. Step 3: Cross multiply
    23,668.24x = 32,662.28 × 13,058
  4. Step 4: Simplify right side
    23,668.24x = 426,504,052.24
  5. Step 5: Solve for x
    x = 426,504,052.24/23,668.24
  6. Step 6: Final answer
    x = 18,020.10

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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.