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Finding the Fourth Proportional to 15,846.57, 23,763.42 and 5,980.46

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Solution

The fourth proportional to 15,846.57, 23,763.42 and 5,980.46 is: 8,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,846.57 : 23,763.42 = 5,980.46 : x
  2. Step 2: Convert to fraction form
    15,846.57/23,763.42 = 5,980.46/x
  3. Step 3: Cross multiply
    15,846.57x = 23,763.42 × 5,980.46
  4. Step 4: Simplify right side
    15,846.57x = 142,116,063.96
  5. Step 5: Solve for x
    x = 142,116,063.96/15,846.57
  6. Step 6: Final answer
    x = 8,968.25

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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.