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Finding the Fourth Proportional to 13,653.12, 20,478.96 and 3,792.96

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Solution

The fourth proportional to 13,653.12, 20,478.96 and 3,792.96 is: 5,689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.12 : 20,478.96 = 3,792.96 : x
  2. Step 2: Convert to fraction form
    13,653.12/20,478.96 = 3,792.96/x
  3. Step 3: Cross multiply
    13,653.12x = 20,478.96 × 3,792.96
  4. Step 4: Simplify right side
    13,653.12x = 77,675,876.12
  5. Step 5: Solve for x
    x = 77,675,876.12/13,653.12
  6. Step 6: Final answer
    x = 5,689.24

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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.