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Finding the Fourth Proportional to 15,982.96, 23,969.25 and 7,548.16

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Solution

The fourth proportional to 15,982.96, 23,969.25 and 7,548.16 is: 11,319.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982.96 : 23,969.25 = 7,548.16 : x
  2. Step 2: Convert to fraction form
    15,982.96/23,969.25 = 7,548.16/x
  3. Step 3: Cross multiply
    15,982.96x = 23,969.25 × 7,548.16
  4. Step 4: Simplify right side
    15,982.96x = 180,923,792.35
  5. Step 5: Solve for x
    x = 180,923,792.35/15,982.96
  6. Step 6: Final answer
    x = 11,319.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.