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Finding the Fourth Proportional to 24,381.63, 33,644.21 and 13,769.24

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Solution

The fourth proportional to 24,381.63, 33,644.21 and 13,769.24 is: 19,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381.63 : 33,644.21 = 13,769.24 : x
  2. Step 2: Convert to fraction form
    24,381.63/33,644.21 = 13,769.24/x
  3. Step 3: Cross multiply
    24,381.63x = 33,644.21 × 13,769.24
  4. Step 4: Simplify right side
    24,381.63x = 463,254,965.03
  5. Step 5: Solve for x
    x = 463,254,965.03/24,381.63
  6. Step 6: Final answer
    x = 19,000.16

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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.