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Finding the Fourth Proportional to 15,720.57, 23,583.94 and 5,190.17

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Solution

The fourth proportional to 15,720.57, 23,583.94 and 5,190.17 is: 7,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,720.57 : 23,583.94 = 5,190.17 : x
  2. Step 2: Convert to fraction form
    15,720.57/23,583.94 = 5,190.17/x
  3. Step 3: Cross multiply
    15,720.57x = 23,583.94 × 5,190.17
  4. Step 4: Simplify right side
    15,720.57x = 122,404,526.97
  5. Step 5: Solve for x
    x = 122,404,526.97/15,720.57
  6. Step 6: Final answer
    x = 7,786.27

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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.