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Finding the Fourth Proportional to 17,738.94, 24,479 and 9,672.42

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Solution

The fourth proportional to 17,738.94, 24,479 and 9,672.42 is: 13,347.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738.94 : 24,479 = 9,672.42 : x
  2. Step 2: Convert to fraction form
    17,738.94/24,479 = 9,672.42/x
  3. Step 3: Cross multiply
    17,738.94x = 24,479 × 9,672.42
  4. Step 4: Simplify right side
    17,738.94x = 236,771,169.18
  5. Step 5: Solve for x
    x = 236,771,169.18/17,738.94
  6. Step 6: Final answer
    x = 13,347.54

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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.