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Finding the Fourth Proportional to 25,349.56, 38,024.40 and 14,954

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Solution

The fourth proportional to 25,349.56, 38,024.40 and 14,954 is: 22,431.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,349.56 : 38,024.40 = 14,954 : x
  2. Step 2: Convert to fraction form
    25,349.56/38,024.40 = 14,954/x
  3. Step 3: Cross multiply
    25,349.56x = 38,024.40 × 14,954
  4. Step 4: Simplify right side
    25,349.56x = 568,616,877.60
  5. Step 5: Solve for x
    x = 568,616,877.60/25,349.56
  6. Step 6: Final answer
    x = 22,431.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.