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Finding the Fourth Proportional to 30,764.73, 42,465.88 and 18,022

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Solution

The fourth proportional to 30,764.73, 42,465.88 and 18,022 is: 24,876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,764.73 : 42,465.88 = 18,022 : x
  2. Step 2: Convert to fraction form
    30,764.73/42,465.88 = 18,022/x
  3. Step 3: Cross multiply
    30,764.73x = 42,465.88 × 18,022
  4. Step 4: Simplify right side
    30,764.73x = 765,319,999.25
  5. Step 5: Solve for x
    x = 765,319,999.25/30,764.73
  6. Step 6: Final answer
    x = 24,876.54

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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.