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Finding the Fourth Proportional to 14,823.80, 20,457.23 and 8,109.71

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Solution

The fourth proportional to 14,823.80, 20,457.23 and 8,109.71 is: 11,191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.80 : 20,457.23 = 8,109.71 : x
  2. Step 2: Convert to fraction form
    14,823.80/20,457.23 = 8,109.71/x
  3. Step 3: Cross multiply
    14,823.80x = 20,457.23 × 8,109.71
  4. Step 4: Simplify right side
    14,823.80x = 165,902,136.58
  5. Step 5: Solve for x
    x = 165,902,136.58/14,823.80
  6. Step 6: Final answer
    x = 11,191.61

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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.