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Finding the Fourth Proportional to 13,784.52, 20,673.12 and 5,991.50

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Solution

The fourth proportional to 13,784.52, 20,673.12 and 5,991.50 is: 8,985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.52 : 20,673.12 = 5,991.50 : x
  2. Step 2: Convert to fraction form
    13,784.52/20,673.12 = 5,991.50/x
  3. Step 3: Cross multiply
    13,784.52x = 20,673.12 × 5,991.50
  4. Step 4: Simplify right side
    13,784.52x = 123,862,998.48
  5. Step 5: Solve for x
    x = 123,862,998.48/13,784.52
  6. Step 6: Final answer
    x = 8,985.66

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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.