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Finding the Fourth Proportional to 14,340.42, 21,516.15 and 6,944.31

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Solution

The fourth proportional to 14,340.42, 21,516.15 and 6,944.31 is: 10,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340.42 : 21,516.15 = 6,944.31 : x
  2. Step 2: Convert to fraction form
    14,340.42/21,516.15 = 6,944.31/x
  3. Step 3: Cross multiply
    14,340.42x = 21,516.15 × 6,944.31
  4. Step 4: Simplify right side
    14,340.42x = 149,414,815.61
  5. Step 5: Solve for x
    x = 149,414,815.61/14,340.42
  6. Step 6: Final answer
    x = 10,419.14

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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.