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Finding the Fourth Proportional to 14,633.44, 20,189.04 and 10,156

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Solution

The fourth proportional to 14,633.44, 20,189.04 and 10,156 is: 14,011.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,633.44 : 20,189.04 = 10,156 : x
  2. Step 2: Convert to fraction form
    14,633.44/20,189.04 = 10,156/x
  3. Step 3: Cross multiply
    14,633.44x = 20,189.04 × 10,156
  4. Step 4: Simplify right side
    14,633.44x = 205,039,890.24
  5. Step 5: Solve for x
    x = 205,039,890.24/14,633.44
  6. Step 6: Final answer
    x = 14,011.74

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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.