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Finding the Fourth Proportional to 30,698.98, 42,367.04 and 17,269.43

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Solution

The fourth proportional to 30,698.98, 42,367.04 and 17,269.43 is: 23,833.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698.98 : 42,367.04 = 17,269.43 : x
  2. Step 2: Convert to fraction form
    30,698.98/42,367.04 = 17,269.43/x
  3. Step 3: Cross multiply
    30,698.98x = 42,367.04 × 17,269.43
  4. Step 4: Simplify right side
    30,698.98x = 731,654,462.93
  5. Step 5: Solve for x
    x = 731,654,462.93/30,698.98
  6. Step 6: Final answer
    x = 23,833.19

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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.