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Finding the Fourth Proportional to 15,847.92, 23,765.50 and 5,981.84

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Solution

The fourth proportional to 15,847.92, 23,765.50 and 5,981.84 is: 8,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,847.92 : 23,765.50 = 5,981.84 : x
  2. Step 2: Convert to fraction form
    15,847.92/23,765.50 = 5,981.84/x
  3. Step 3: Cross multiply
    15,847.92x = 23,765.50 × 5,981.84
  4. Step 4: Simplify right side
    15,847.92x = 142,161,418.52
  5. Step 5: Solve for x
    x = 142,161,418.52/15,847.92
  6. Step 6: Final answer
    x = 8,970.35

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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.