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Finding the Fourth Proportional to 23,563.98, 32,519.07 and 12,954.06

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Solution

The fourth proportional to 23,563.98, 32,519.07 and 12,954.06 is: 17,877.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,563.98 : 32,519.07 = 12,954.06 : x
  2. Step 2: Convert to fraction form
    23,563.98/32,519.07 = 12,954.06/x
  3. Step 3: Cross multiply
    23,563.98x = 32,519.07 × 12,954.06
  4. Step 4: Simplify right side
    23,563.98x = 421,253,983.92
  5. Step 5: Solve for x
    x = 421,253,983.92/23,563.98
  6. Step 6: Final answer
    x = 17,877.03

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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.