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Finding the Fourth Proportional to 14,689.96, 22,016.22 and 6,881.56

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Solution

The fourth proportional to 14,689.96, 22,016.22 and 6,881.56 is: 10,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.96 : 22,016.22 = 6,881.56 : x
  2. Step 2: Convert to fraction form
    14,689.96/22,016.22 = 6,881.56/x
  3. Step 3: Cross multiply
    14,689.96x = 22,016.22 × 6,881.56
  4. Step 4: Simplify right side
    14,689.96x = 151,505,938.90
  5. Step 5: Solve for x
    x = 151,505,938.90/14,689.96
  6. Step 6: Final answer
    x = 10,313.57

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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.