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Finding the Fourth Proportional to 17,478.40, 24,120.24 and 9,520.60

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Solution

The fourth proportional to 17,478.40, 24,120.24 and 9,520.60 is: 13,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,478.40 : 24,120.24 = 9,520.60 : x
  2. Step 2: Convert to fraction form
    17,478.40/24,120.24 = 9,520.60/x
  3. Step 3: Cross multiply
    17,478.40x = 24,120.24 × 9,520.60
  4. Step 4: Simplify right side
    17,478.40x = 229,639,156.94
  5. Step 5: Solve for x
    x = 229,639,156.94/17,478.40
  6. Step 6: Final answer
    x = 13,138.45

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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.