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Finding the Fourth Proportional to 17,658.16, 24,389.82 and 13,201.69

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Solution

The fourth proportional to 17,658.16, 24,389.82 and 13,201.69 is: 18,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.16 : 24,389.82 = 13,201.69 : x
  2. Step 2: Convert to fraction form
    17,658.16/24,389.82 = 13,201.69/x
  3. Step 3: Cross multiply
    17,658.16x = 24,389.82 × 13,201.69
  4. Step 4: Simplify right side
    17,658.16x = 321,986,842.80
  5. Step 5: Solve for x
    x = 321,986,842.80/17,658.16
  6. Step 6: Final answer
    x = 18,234.45

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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.