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Finding the Fourth Proportional to 14,614.32, 20,174.48 and 8,563.68

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Solution

The fourth proportional to 14,614.32, 20,174.48 and 8,563.68 is: 11,821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614.32 : 20,174.48 = 8,563.68 : x
  2. Step 2: Convert to fraction form
    14,614.32/20,174.48 = 8,563.68/x
  3. Step 3: Cross multiply
    14,614.32x = 20,174.48 × 8,563.68
  4. Step 4: Simplify right side
    14,614.32x = 172,767,790.89
  5. Step 5: Solve for x
    x = 172,767,790.89/14,614.32
  6. Step 6: Final answer
    x = 11,821.82

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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.