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Finding the Fourth Proportional to 23,344.50, 32,215.41 and 14,961

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Solution

The fourth proportional to 23,344.50, 32,215.41 and 14,961 is: 20,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,344.50 : 32,215.41 = 14,961 : x
  2. Step 2: Convert to fraction form
    23,344.50/32,215.41 = 14,961/x
  3. Step 3: Cross multiply
    23,344.50x = 32,215.41 × 14,961
  4. Step 4: Simplify right side
    23,344.50x = 481,974,749.01
  5. Step 5: Solve for x
    x = 481,974,749.01/23,344.50
  6. Step 6: Final answer
    x = 20,646.18

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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.