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Finding the Fourth Proportional to 17,853.13, 24,636.90 and 10,299.48

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Solution

The fourth proportional to 17,853.13, 24,636.90 and 10,299.48 is: 14,213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.13 : 24,636.90 = 10,299.48 : x
  2. Step 2: Convert to fraction form
    17,853.13/24,636.90 = 10,299.48/x
  3. Step 3: Cross multiply
    17,853.13x = 24,636.90 × 10,299.48
  4. Step 4: Simplify right side
    17,853.13x = 253,747,135.63
  5. Step 5: Solve for x
    x = 253,747,135.63/17,853.13
  6. Step 6: Final answer
    x = 14,213.03

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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.