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Finding the Fourth Proportional to 13,772.54, 20,655.12 and 5,979.50

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Solution

The fourth proportional to 13,772.54, 20,655.12 and 5,979.50 is: 8,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.54 : 20,655.12 = 5,979.50 : x
  2. Step 2: Convert to fraction form
    13,772.54/20,655.12 = 5,979.50/x
  3. Step 3: Cross multiply
    13,772.54x = 20,655.12 × 5,979.50
  4. Step 4: Simplify right side
    13,772.54x = 123,507,290.04
  5. Step 5: Solve for x
    x = 123,507,290.04/13,772.54
  6. Step 6: Final answer
    x = 8,967.65

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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.