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Finding the Fourth Proportional to 14,890.43, 20,549.22 and 8,429.57

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Solution

The fourth proportional to 14,890.43, 20,549.22 and 8,429.57 is: 11,633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,890.43 : 20,549.22 = 8,429.57 : x
  2. Step 2: Convert to fraction form
    14,890.43/20,549.22 = 8,429.57/x
  3. Step 3: Cross multiply
    14,890.43x = 20,549.22 × 8,429.57
  4. Step 4: Simplify right side
    14,890.43x = 173,220,985.69
  5. Step 5: Solve for x
    x = 173,220,985.69/14,890.43
  6. Step 6: Final answer
    x = 11,633.04

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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.