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Finding the Fourth Proportional to 17,022.50, 25,514.81 and 12,848.97

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Solution

The fourth proportional to 17,022.50, 25,514.81 and 12,848.97 is: 19,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,022.50 : 25,514.81 = 12,848.97 : x
  2. Step 2: Convert to fraction form
    17,022.50/25,514.81 = 12,848.97/x
  3. Step 3: Cross multiply
    17,022.50x = 25,514.81 × 12,848.97
  4. Step 4: Simplify right side
    17,022.50x = 327,839,028.25
  5. Step 5: Solve for x
    x = 327,839,028.25/17,022.50
  6. Step 6: Final answer
    x = 19,259.16

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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.