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Finding the Fourth Proportional to 15,880.54, 23,824 and 5,350.14

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Solution

The fourth proportional to 15,880.54, 23,824 and 5,350.14 is: 8,026.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,880.54 : 23,824 = 5,350.14 : x
  2. Step 2: Convert to fraction form
    15,880.54/23,824 = 5,350.14/x
  3. Step 3: Cross multiply
    15,880.54x = 23,824 × 5,350.14
  4. Step 4: Simplify right side
    15,880.54x = 127,461,735.36
  5. Step 5: Solve for x
    x = 127,461,735.36/15,880.54
  6. Step 6: Final answer
    x = 8,026.28

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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.