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Finding the Fourth Proportional to 30,463.96, 42,022.74 and 17,886.28

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Solution

The fourth proportional to 30,463.96, 42,022.74 and 17,886.28 is: 24,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,463.96 : 42,022.74 = 17,886.28 : x
  2. Step 2: Convert to fraction form
    30,463.96/42,022.74 = 17,886.28/x
  3. Step 3: Cross multiply
    30,463.96x = 42,022.74 × 17,886.28
  4. Step 4: Simplify right side
    30,463.96x = 751,630,494.01
  5. Step 5: Solve for x
    x = 751,630,494.01/30,463.96
  6. Step 6: Final answer
    x = 24,672.78

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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.