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Finding the Fourth Proportional to 17,534.88, 26,313.26 and 10,142.82

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Solution

The fourth proportional to 17,534.88, 26,313.26 and 10,142.82 is: 15,220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.88 : 26,313.26 = 10,142.82 : x
  2. Step 2: Convert to fraction form
    17,534.88/26,313.26 = 10,142.82/x
  3. Step 3: Cross multiply
    17,534.88x = 26,313.26 × 10,142.82
  4. Step 4: Simplify right side
    17,534.88x = 266,890,609.08
  5. Step 5: Solve for x
    x = 266,890,609.08/17,534.88
  6. Step 6: Final answer
    x = 15,220.56

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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.