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Finding the Fourth Proportional to 23,662.29, 32,653.46 and 13,052.91

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Solution

The fourth proportional to 23,662.29, 32,653.46 and 13,052.91 is: 18,012.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,662.29 : 32,653.46 = 13,052.91 : x
  2. Step 2: Convert to fraction form
    23,662.29/32,653.46 = 13,052.91/x
  3. Step 3: Cross multiply
    23,662.29x = 32,653.46 × 13,052.91
  4. Step 4: Simplify right side
    23,662.29x = 426,222,609.30
  5. Step 5: Solve for x
    x = 426,222,609.30/23,662.29
  6. Step 6: Final answer
    x = 18,012.74

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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.