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Finding the Fourth Proportional to 15,433.92, 23,133.24 and 9,594.48

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Solution

The fourth proportional to 15,433.92, 23,133.24 and 9,594.48 is: 14,380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,433.92 : 23,133.24 = 9,594.48 : x
  2. Step 2: Convert to fraction form
    15,433.92/23,133.24 = 9,594.48/x
  3. Step 3: Cross multiply
    15,433.92x = 23,133.24 × 9,594.48
  4. Step 4: Simplify right side
    15,433.92x = 221,951,408.52
  5. Step 5: Solve for x
    x = 221,951,408.52/15,433.92
  6. Step 6: Final answer
    x = 14,380.75

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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.