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Finding the Fourth Proportional to 17,193.74, 23,728.34 and 9,642.49

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Solution

The fourth proportional to 17,193.74, 23,728.34 and 9,642.49 is: 13,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,193.74 : 23,728.34 = 9,642.49 : x
  2. Step 2: Convert to fraction form
    17,193.74/23,728.34 = 9,642.49/x
  3. Step 3: Cross multiply
    17,193.74x = 23,728.34 × 9,642.49
  4. Step 4: Simplify right side
    17,193.74x = 228,800,379.42
  5. Step 5: Solve for x
    x = 228,800,379.42/17,193.74
  6. Step 6: Final answer
    x = 13,307.19

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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.