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Finding the Fourth Proportional to 12,357.65, 18,528.29 and 6,813.65

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Solution

The fourth proportional to 12,357.65, 18,528.29 and 6,813.65 is: 10,215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.65 : 18,528.29 = 6,813.65 : x
  2. Step 2: Convert to fraction form
    12,357.65/18,528.29 = 6,813.65/x
  3. Step 3: Cross multiply
    12,357.65x = 18,528.29 × 6,813.65
  4. Step 4: Simplify right side
    12,357.65x = 126,245,249.09
  5. Step 5: Solve for x
    x = 126,245,249.09/12,357.65
  6. Step 6: Final answer
    x = 10,215.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.