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Finding the Fourth Proportional to 13,964.16, 20,940.70 and 6,167.50

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Solution

The fourth proportional to 13,964.16, 20,940.70 and 6,167.50 is: 9,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,964.16 : 20,940.70 = 6,167.50 : x
  2. Step 2: Convert to fraction form
    13,964.16/20,940.70 = 6,167.50/x
  3. Step 3: Cross multiply
    13,964.16x = 20,940.70 × 6,167.50
  4. Step 4: Simplify right side
    13,964.16x = 129,151,767.25
  5. Step 5: Solve for x
    x = 129,151,767.25/13,964.16
  6. Step 6: Final answer
    x = 9,248.80

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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.