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Finding the Fourth Proportional to 30,571.98, 42,189.80 and 16,959.93

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Solution

The fourth proportional to 30,571.98, 42,189.80 and 16,959.93 is: 23,404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,571.98 : 42,189.80 = 16,959.93 : x
  2. Step 2: Convert to fraction form
    30,571.98/42,189.80 = 16,959.93/x
  3. Step 3: Cross multiply
    30,571.98x = 42,189.80 × 16,959.93
  4. Step 4: Simplify right side
    30,571.98x = 715,535,969.91
  5. Step 5: Solve for x
    x = 715,535,969.91/30,571.98
  6. Step 6: Final answer
    x = 23,404.96

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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.