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Finding the Fourth Proportional to 15,846.92, 23,764 and 5,980.84

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Solution

The fourth proportional to 15,846.92, 23,764 and 5,980.84 is: 8,968.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,846.92 : 23,764 = 5,980.84 : x
  2. Step 2: Convert to fraction form
    15,846.92/23,764 = 5,980.84/x
  3. Step 3: Cross multiply
    15,846.92x = 23,764 × 5,980.84
  4. Step 4: Simplify right side
    15,846.92x = 142,128,681.76
  5. Step 5: Solve for x
    x = 142,128,681.76/15,846.92
  6. Step 6: Final answer
    x = 8,968.85

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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.