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Finding the Fourth Proportional to 17,829.66, 24,607.49 and 10,274.54

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Solution

The fourth proportional to 17,829.66, 24,607.49 and 10,274.54 is: 14,180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.66 : 24,607.49 = 10,274.54 : x
  2. Step 2: Convert to fraction form
    17,829.66/24,607.49 = 10,274.54/x
  3. Step 3: Cross multiply
    17,829.66x = 24,607.49 × 10,274.54
  4. Step 4: Simplify right side
    17,829.66x = 252,830,640.30
  5. Step 5: Solve for x
    x = 252,830,640.30/17,829.66
  6. Step 6: Final answer
    x = 14,180.34

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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.