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Finding the Fourth Proportional to 14,239.43, 21,362.72 and 6,446.15

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Solution

The fourth proportional to 14,239.43, 21,362.72 and 6,446.15 is: 9,670.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,239.43 : 21,362.72 = 6,446.15 : x
  2. Step 2: Convert to fraction form
    14,239.43/21,362.72 = 6,446.15/x
  3. Step 3: Cross multiply
    14,239.43x = 21,362.72 × 6,446.15
  4. Step 4: Simplify right side
    14,239.43x = 137,707,158.48
  5. Step 5: Solve for x
    x = 137,707,158.48/14,239.43
  6. Step 6: Final answer
    x = 9,670.84

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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.