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Finding the Fourth Proportional to 17,478.18, 24,120.17 and 9,520.41

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Solution

The fourth proportional to 17,478.18, 24,120.17 and 9,520.41 is: 13,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,478.18 : 24,120.17 = 9,520.41 : x
  2. Step 2: Convert to fraction form
    17,478.18/24,120.17 = 9,520.41/x
  3. Step 3: Cross multiply
    17,478.18x = 24,120.17 × 9,520.41
  4. Step 4: Simplify right side
    17,478.18x = 229,633,907.67
  5. Step 5: Solve for x
    x = 229,633,907.67/17,478.18
  6. Step 6: Final answer
    x = 13,138.32

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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.