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Finding the Fourth Proportional to 17,530.26, 24,190.82 and 9,570.93

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Solution

The fourth proportional to 17,530.26, 24,190.82 and 9,570.93 is: 13,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,530.26 : 24,190.82 = 9,570.93 : x
  2. Step 2: Convert to fraction form
    17,530.26/24,190.82 = 9,570.93/x
  3. Step 3: Cross multiply
    17,530.26x = 24,190.82 × 9,570.93
  4. Step 4: Simplify right side
    17,530.26x = 231,528,542.18
  5. Step 5: Solve for x
    x = 231,528,542.18/17,530.26
  6. Step 6: Final answer
    x = 13,207.37

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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.