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Finding the Fourth Proportional to 17,344.34, 25,995.72 and 8,902.16

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Solution

The fourth proportional to 17,344.34, 25,995.72 and 8,902.16 is: 13,342.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,344.34 : 25,995.72 = 8,902.16 : x
  2. Step 2: Convert to fraction form
    17,344.34/25,995.72 = 8,902.16/x
  3. Step 3: Cross multiply
    17,344.34x = 25,995.72 × 8,902.16
  4. Step 4: Simplify right side
    17,344.34x = 231,418,058.76
  5. Step 5: Solve for x
    x = 231,418,058.76/17,344.34
  6. Step 6: Final answer
    x = 13,342.57

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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.