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Finding the Fourth Proportional to 14,562.41, 20,095.65 and 8,189.24

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Solution

The fourth proportional to 14,562.41, 20,095.65 and 8,189.24 is: 11,300.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.41 : 20,095.65 = 8,189.24 : x
  2. Step 2: Convert to fraction form
    14,562.41/20,095.65 = 8,189.24/x
  3. Step 3: Cross multiply
    14,562.41x = 20,095.65 × 8,189.24
  4. Step 4: Simplify right side
    14,562.41x = 164,568,000.33
  5. Step 5: Solve for x
    x = 164,568,000.33/14,562.41
  6. Step 6: Final answer
    x = 11,300.88

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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.