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Finding the Fourth Proportional to 30,950.96, 42,713.22 and 16,804.70

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Solution

The fourth proportional to 30,950.96, 42,713.22 and 16,804.70 is: 23,190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.96 : 42,713.22 = 16,804.70 : x
  2. Step 2: Convert to fraction form
    30,950.96/42,713.22 = 16,804.70/x
  3. Step 3: Cross multiply
    30,950.96x = 42,713.22 × 16,804.70
  4. Step 4: Simplify right side
    30,950.96x = 717,782,848.13
  5. Step 5: Solve for x
    x = 717,782,848.13/30,950.96
  6. Step 6: Final answer
    x = 23,190.97

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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.