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Finding the Fourth Proportional to 13,962.48, 20,943.68 and 8,772

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Solution

The fourth proportional to 13,962.48, 20,943.68 and 8,772 is: 13,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,962.48 : 20,943.68 = 8,772 : x
  2. Step 2: Convert to fraction form
    13,962.48/20,943.68 = 8,772/x
  3. Step 3: Cross multiply
    13,962.48x = 20,943.68 × 8,772
  4. Step 4: Simplify right side
    13,962.48x = 183,717,960.96
  5. Step 5: Solve for x
    x = 183,717,960.96/13,962.48
  6. Step 6: Final answer
    x = 13,157.97

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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.