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Finding the Fourth Proportional to 21,318.96, 31,980.36 and 10,782.39

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Solution

The fourth proportional to 21,318.96, 31,980.36 and 10,782.39 is: 16,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,318.96 : 31,980.36 = 10,782.39 : x
  2. Step 2: Convert to fraction form
    21,318.96/31,980.36 = 10,782.39/x
  3. Step 3: Cross multiply
    21,318.96x = 31,980.36 × 10,782.39
  4. Step 4: Simplify right side
    21,318.96x = 344,824,713.86
  5. Step 5: Solve for x
    x = 344,824,713.86/21,318.96
  6. Step 6: Final answer
    x = 16,174.56

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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.