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Finding the Fourth Proportional to 17,788.62, 24,549.42 and 10,234.96

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Solution

The fourth proportional to 17,788.62, 24,549.42 and 10,234.96 is: 14,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,788.62 : 24,549.42 = 10,234.96 : x
  2. Step 2: Convert to fraction form
    17,788.62/24,549.42 = 10,234.96/x
  3. Step 3: Cross multiply
    17,788.62x = 24,549.42 × 10,234.96
  4. Step 4: Simplify right side
    17,788.62x = 251,262,331.72
  5. Step 5: Solve for x
    x = 251,262,331.72/17,788.62
  6. Step 6: Final answer
    x = 14,124.89

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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.