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Finding the Fourth Proportional to 17,528.36, 24,189 and 9,570.57

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Solution

The fourth proportional to 17,528.36, 24,189 and 9,570.57 is: 13,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,528.36 : 24,189 = 9,570.57 : x
  2. Step 2: Convert to fraction form
    17,528.36/24,189 = 9,570.57/x
  3. Step 3: Cross multiply
    17,528.36x = 24,189 × 9,570.57
  4. Step 4: Simplify right side
    17,528.36x = 231,502,517.73
  5. Step 5: Solve for x
    x = 231,502,517.73/17,528.36
  6. Step 6: Final answer
    x = 13,207.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.