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Finding the Fourth Proportional to 23,554.40, 32,504.56 and 12,799

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Solution

The fourth proportional to 23,554.40, 32,504.56 and 12,799 is: 17,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,554.40 : 32,504.56 = 12,799 : x
  2. Step 2: Convert to fraction form
    23,554.40/32,504.56 = 12,799/x
  3. Step 3: Cross multiply
    23,554.40x = 32,504.56 × 12,799
  4. Step 4: Simplify right side
    23,554.40x = 416,025,863.44
  5. Step 5: Solve for x
    x = 416,025,863.44/23,554.40
  6. Step 6: Final answer
    x = 17,662.34

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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.