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Finding the Fourth Proportional to 14,241.46, 21,359.76 and 5,471.86

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Solution

The fourth proportional to 14,241.46, 21,359.76 and 5,471.86 is: 8,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,241.46 : 21,359.76 = 5,471.86 : x
  2. Step 2: Convert to fraction form
    14,241.46/21,359.76 = 5,471.86/x
  3. Step 3: Cross multiply
    14,241.46x = 21,359.76 × 5,471.86
  4. Step 4: Simplify right side
    14,241.46x = 116,877,616.35
  5. Step 5: Solve for x
    x = 116,877,616.35/14,241.46
  6. Step 6: Final answer
    x = 8,206.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.