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Finding the Fourth Proportional to 17,378.54, 23,982.16 and 9,824.70

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Solution

The fourth proportional to 17,378.54, 23,982.16 and 9,824.70 is: 13,557.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,378.54 : 23,982.16 = 9,824.70 : x
  2. Step 2: Convert to fraction form
    17,378.54/23,982.16 = 9,824.70/x
  3. Step 3: Cross multiply
    17,378.54x = 23,982.16 × 9,824.70
  4. Step 4: Simplify right side
    17,378.54x = 235,617,527.35
  5. Step 5: Solve for x
    x = 235,617,527.35/17,378.54
  6. Step 6: Final answer
    x = 13,557.96

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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.