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Finding the Fourth Proportional to 15,684.72, 23,529.17 and 8,289.48

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Solution

The fourth proportional to 15,684.72, 23,529.17 and 8,289.48 is: 12,435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684.72 : 23,529.17 = 8,289.48 : x
  2. Step 2: Convert to fraction form
    15,684.72/23,529.17 = 8,289.48/x
  3. Step 3: Cross multiply
    15,684.72x = 23,529.17 × 8,289.48
  4. Step 4: Simplify right side
    15,684.72x = 195,044,542.68
  5. Step 5: Solve for x
    x = 195,044,542.68/15,684.72
  6. Step 6: Final answer
    x = 12,435.32

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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.