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Finding the Fourth Proportional to 25,132.72, 34,682.52 and 13,954

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Solution

The fourth proportional to 25,132.72, 34,682.52 and 13,954 is: 19,256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,132.72 : 34,682.52 = 13,954 : x
  2. Step 2: Convert to fraction form
    25,132.72/34,682.52 = 13,954/x
  3. Step 3: Cross multiply
    25,132.72x = 34,682.52 × 13,954
  4. Step 4: Simplify right side
    25,132.72x = 483,959,884.08
  5. Step 5: Solve for x
    x = 483,959,884.08/25,132.72
  6. Step 6: Final answer
    x = 19,256.17

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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.