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Finding the Fourth Proportional to 13,783.02, 20,661.93 and 5,989.02

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Solution

The fourth proportional to 13,783.02, 20,661.93 and 5,989.02 is: 8,978.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.02 : 20,661.93 = 5,989.02 : x
  2. Step 2: Convert to fraction form
    13,783.02/20,661.93 = 5,989.02/x
  3. Step 3: Cross multiply
    13,783.02x = 20,661.93 × 5,989.02
  4. Step 4: Simplify right side
    13,783.02x = 123,744,712.01
  5. Step 5: Solve for x
    x = 123,744,712.01/13,783.02
  6. Step 6: Final answer
    x = 8,978.06

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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.