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Finding the Fourth Proportional to 17,822.66, 24,600.74 and 10,274.03

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Solution

The fourth proportional to 17,822.66, 24,600.74 and 10,274.03 is: 14,181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.66 : 24,600.74 = 10,274.03 : x
  2. Step 2: Convert to fraction form
    17,822.66/24,600.74 = 10,274.03/x
  3. Step 3: Cross multiply
    17,822.66x = 24,600.74 × 10,274.03
  4. Step 4: Simplify right side
    17,822.66x = 252,748,827.97
  5. Step 5: Solve for x
    x = 252,748,827.97/17,822.66
  6. Step 6: Final answer
    x = 14,181.32

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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.