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Finding the Fourth Proportional to 14,823.99, 20,457.49 and 8,109.90

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Solution

The fourth proportional to 14,823.99, 20,457.49 and 8,109.90 is: 11,191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.99 : 20,457.49 = 8,109.90 : x
  2. Step 2: Convert to fraction form
    14,823.99/20,457.49 = 8,109.90/x
  3. Step 3: Cross multiply
    14,823.99x = 20,457.49 × 8,109.90
  4. Step 4: Simplify right side
    14,823.99x = 165,908,177.88
  5. Step 5: Solve for x
    x = 165,908,177.88/14,823.99
  6. Step 6: Final answer
    x = 11,191.87

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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.