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Finding the Fourth Proportional to 14,137.49, 21,213.52 and 5,823.65

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Solution

The fourth proportional to 14,137.49, 21,213.52 and 5,823.65 is: 8,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.49 : 21,213.52 = 5,823.65 : x
  2. Step 2: Convert to fraction form
    14,137.49/21,213.52 = 5,823.65/x
  3. Step 3: Cross multiply
    14,137.49x = 21,213.52 × 5,823.65
  4. Step 4: Simplify right side
    14,137.49x = 123,540,009.68
  5. Step 5: Solve for x
    x = 123,540,009.68/14,137.49
  6. Step 6: Final answer
    x = 8,738.47

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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.