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Finding the Fourth Proportional to 21,158.43, 31,739.24 and 7,118.49

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Solution

The fourth proportional to 21,158.43, 31,739.24 and 7,118.49 is: 10,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,158.43 : 31,739.24 = 7,118.49 : x
  2. Step 2: Convert to fraction form
    21,158.43/31,739.24 = 7,118.49/x
  3. Step 3: Cross multiply
    21,158.43x = 31,739.24 × 7,118.49
  4. Step 4: Simplify right side
    21,158.43x = 225,935,462.55
  5. Step 5: Solve for x
    x = 225,935,462.55/21,158.43
  6. Step 6: Final answer
    x = 10,678.27

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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.