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Finding the Fourth Proportional to 17,751.80, 24,494.09 and 10,678.68

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Solution

The fourth proportional to 17,751.80, 24,494.09 and 10,678.68 is: 14,734.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,751.80 : 24,494.09 = 10,678.68 : x
  2. Step 2: Convert to fraction form
    17,751.80/24,494.09 = 10,678.68/x
  3. Step 3: Cross multiply
    17,751.80x = 24,494.09 × 10,678.68
  4. Step 4: Simplify right side
    17,751.80x = 261,564,495.61
  5. Step 5: Solve for x
    x = 261,564,495.61/17,751.80
  6. Step 6: Final answer
    x = 14,734.53

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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.