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Finding the Fourth Proportional to 25,397.28, 35,048.54 and 14,067

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Solution

The fourth proportional to 25,397.28, 35,048.54 and 14,067 is: 19,412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,397.28 : 35,048.54 = 14,067 : x
  2. Step 2: Convert to fraction form
    25,397.28/35,048.54 = 14,067/x
  3. Step 3: Cross multiply
    25,397.28x = 35,048.54 × 14,067
  4. Step 4: Simplify right side
    25,397.28x = 493,027,741.85
  5. Step 5: Solve for x
    x = 493,027,741.85/25,397.28
  6. Step 6: Final answer
    x = 19,412.62

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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.