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Finding the Fourth Proportional to 14,996.96, 22,495.41 and 6,116

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Solution

The fourth proportional to 14,996.96, 22,495.41 and 6,116 is: 9,173.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,996.96 : 22,495.41 = 6,116 : x
  2. Step 2: Convert to fraction form
    14,996.96/22,495.41 = 6,116/x
  3. Step 3: Cross multiply
    14,996.96x = 22,495.41 × 6,116
  4. Step 4: Simplify right side
    14,996.96x = 137,581,927.56
  5. Step 5: Solve for x
    x = 137,581,927.56/14,996.96
  6. Step 6: Final answer
    x = 9,173.99

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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.