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Finding the Fourth Proportional to 17,751.68, 24,493.89 and 10,678.56

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Solution

The fourth proportional to 17,751.68, 24,493.89 and 10,678.56 is: 14,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,751.68 : 24,493.89 = 10,678.56 : x
  2. Step 2: Convert to fraction form
    17,751.68/24,493.89 = 10,678.56/x
  3. Step 3: Cross multiply
    17,751.68x = 24,493.89 × 10,678.56
  4. Step 4: Simplify right side
    17,751.68x = 261,559,474.00
  5. Step 5: Solve for x
    x = 261,559,474.00/17,751.68
  6. Step 6: Final answer
    x = 14,734.35

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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.