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Finding the Fourth Proportional to 12,443.98, 18,653.67 and 5,782.51

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Solution

The fourth proportional to 12,443.98, 18,653.67 and 5,782.51 is: 8,668.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.98 : 18,653.67 = 5,782.51 : x
  2. Step 2: Convert to fraction form
    12,443.98/18,653.67 = 5,782.51/x
  3. Step 3: Cross multiply
    12,443.98x = 18,653.67 × 5,782.51
  4. Step 4: Simplify right side
    12,443.98x = 107,865,092.83
  5. Step 5: Solve for x
    x = 107,865,092.83/12,443.98
  6. Step 6: Final answer
    x = 8,668.05

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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.