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Finding the Fourth Proportional to 13,874.64, 20,812.68 and 4,641.36

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Solution

The fourth proportional to 13,874.64, 20,812.68 and 4,641.36 is: 6,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.64 : 20,812.68 = 4,641.36 : x
  2. Step 2: Convert to fraction form
    13,874.64/20,812.68 = 4,641.36/x
  3. Step 3: Cross multiply
    13,874.64x = 20,812.68 × 4,641.36
  4. Step 4: Simplify right side
    13,874.64x = 96,599,140.44
  5. Step 5: Solve for x
    x = 96,599,140.44/13,874.64
  6. Step 6: Final answer
    x = 6,962.28

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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.