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Finding the Fourth Proportional to 23,676.80, 32,653.92 and 14,243.60

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Solution

The fourth proportional to 23,676.80, 32,653.92 and 14,243.60 is: 19,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,676.80 : 32,653.92 = 14,243.60 : x
  2. Step 2: Convert to fraction form
    23,676.80/32,653.92 = 14,243.60/x
  3. Step 3: Cross multiply
    23,676.80x = 32,653.92 × 14,243.60
  4. Step 4: Simplify right side
    23,676.80x = 465,109,374.91
  5. Step 5: Solve for x
    x = 465,109,374.91/23,676.80
  6. Step 6: Final answer
    x = 19,644.10

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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.