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Finding the Fourth Proportional to 17,673.42, 24,390.36 and 9,715.62

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Solution

The fourth proportional to 17,673.42, 24,390.36 and 9,715.62 is: 13,408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,673.42 : 24,390.36 = 9,715.62 : x
  2. Step 2: Convert to fraction form
    17,673.42/24,390.36 = 9,715.62/x
  3. Step 3: Cross multiply
    17,673.42x = 24,390.36 × 9,715.62
  4. Step 4: Simplify right side
    17,673.42x = 236,967,469.42
  5. Step 5: Solve for x
    x = 236,967,469.42/17,673.42
  6. Step 6: Final answer
    x = 13,408.13

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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.