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Finding the Fourth Proportional to 25,094.72, 34,629.36 and 13,916

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Solution

The fourth proportional to 25,094.72, 34,629.36 and 13,916 is: 19,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,094.72 : 34,629.36 = 13,916 : x
  2. Step 2: Convert to fraction form
    25,094.72/34,629.36 = 13,916/x
  3. Step 3: Cross multiply
    25,094.72x = 34,629.36 × 13,916
  4. Step 4: Simplify right side
    25,094.72x = 481,902,173.76
  5. Step 5: Solve for x
    x = 481,902,173.76/25,094.72
  6. Step 6: Final answer
    x = 19,203.33

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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.