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Finding the Fourth Proportional to 13,792.32, 20,676.72 and 5,470.40

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Solution

The fourth proportional to 13,792.32, 20,676.72 and 5,470.40 is: 8,200.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.32 : 20,676.72 = 5,470.40 : x
  2. Step 2: Convert to fraction form
    13,792.32/20,676.72 = 5,470.40/x
  3. Step 3: Cross multiply
    13,792.32x = 20,676.72 × 5,470.40
  4. Step 4: Simplify right side
    13,792.32x = 113,109,929.09
  5. Step 5: Solve for x
    x = 113,109,929.09/13,792.32
  6. Step 6: Final answer
    x = 8,200.94

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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.