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Finding the Fourth Proportional to 14,814.40, 22,230.36 and 5,461

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Solution

The fourth proportional to 14,814.40, 22,230.36 and 5,461 is: 8,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814.40 : 22,230.36 = 5,461 : x
  2. Step 2: Convert to fraction form
    14,814.40/22,230.36 = 5,461/x
  3. Step 3: Cross multiply
    14,814.40x = 22,230.36 × 5,461
  4. Step 4: Simplify right side
    14,814.40x = 121,399,995.96
  5. Step 5: Solve for x
    x = 121,399,995.96/14,814.40
  6. Step 6: Final answer
    x = 8,194.73

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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.