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Finding the Fourth Proportional to 30,142.01, 41,596.49 and 16,713.83

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Solution

The fourth proportional to 30,142.01, 41,596.49 and 16,713.83 is: 23,065.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.01 : 41,596.49 = 16,713.83 : x
  2. Step 2: Convert to fraction form
    30,142.01/41,596.49 = 16,713.83/x
  3. Step 3: Cross multiply
    30,142.01x = 41,596.49 × 16,713.83
  4. Step 4: Simplify right side
    30,142.01x = 695,236,682.88
  5. Step 5: Solve for x
    x = 695,236,682.88/30,142.01
  6. Step 6: Final answer
    x = 23,065.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.