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Finding the Fourth Proportional to 30,651, 42,298.41 and 17,222.25

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Solution

The fourth proportional to 30,651, 42,298.41 and 17,222.25 is: 23,766.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,651 : 42,298.41 = 17,222.25 : x
  2. Step 2: Convert to fraction form
    30,651/42,298.41 = 17,222.25/x
  3. Step 3: Cross multiply
    30,651x = 42,298.41 × 17,222.25
  4. Step 4: Simplify right side
    30,651x = 728,473,791.62
  5. Step 5: Solve for x
    x = 728,473,791.62/30,651
  6. Step 6: Final answer
    x = 23,766.72

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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.