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Finding the Fourth Proportional to 17,842.98, 24,623.02 and 10,288.72

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Solution

The fourth proportional to 17,842.98, 24,623.02 and 10,288.72 is: 14,198.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.98 : 24,623.02 = 10,288.72 : x
  2. Step 2: Convert to fraction form
    17,842.98/24,623.02 = 10,288.72/x
  3. Step 3: Cross multiply
    17,842.98x = 24,623.02 × 10,288.72
  4. Step 4: Simplify right side
    17,842.98x = 253,339,401.97
  5. Step 5: Solve for x
    x = 253,339,401.97/17,842.98
  6. Step 6: Final answer
    x = 14,198.26

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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.