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Finding the Fourth Proportional to 14,920.23, 20,588.91 and 8,546.84

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Solution

The fourth proportional to 14,920.23, 20,588.91 and 8,546.84 is: 11,794.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.23 : 20,588.91 = 8,546.84 : x
  2. Step 2: Convert to fraction form
    14,920.23/20,588.91 = 8,546.84/x
  3. Step 3: Cross multiply
    14,920.23x = 20,588.91 × 8,546.84
  4. Step 4: Simplify right side
    14,920.23x = 175,970,149.65
  5. Step 5: Solve for x
    x = 175,970,149.65/14,920.23
  6. Step 6: Final answer
    x = 11,794.07

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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.