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Finding the Fourth Proportional to 17,828.56, 24,604.32 and 9,871.66

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Solution

The fourth proportional to 17,828.56, 24,604.32 and 9,871.66 is: 13,623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,828.56 : 24,604.32 = 9,871.66 : x
  2. Step 2: Convert to fraction form
    17,828.56/24,604.32 = 9,871.66/x
  3. Step 3: Cross multiply
    17,828.56x = 24,604.32 × 9,871.66
  4. Step 4: Simplify right side
    17,828.56x = 242,885,481.57
  5. Step 5: Solve for x
    x = 242,885,481.57/17,828.56
  6. Step 6: Final answer
    x = 13,623.39

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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.