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Finding the Fourth Proportional to 17,478.30, 24,116.22 and 11,429.94

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Solution

The fourth proportional to 17,478.30, 24,116.22 and 11,429.94 is: 15,770.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,478.30 : 24,116.22 = 11,429.94 : x
  2. Step 2: Convert to fraction form
    17,478.30/24,116.22 = 11,429.94/x
  3. Step 3: Cross multiply
    17,478.30x = 24,116.22 × 11,429.94
  4. Step 4: Simplify right side
    17,478.30x = 275,646,947.63
  5. Step 5: Solve for x
    x = 275,646,947.63/17,478.30
  6. Step 6: Final answer
    x = 15,770.81

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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.