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Finding the Fourth Proportional to 13,862.16, 20,790.72 and 3,999

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Solution

The fourth proportional to 13,862.16, 20,790.72 and 3,999 is: 5,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.16 : 20,790.72 = 3,999 : x
  2. Step 2: Convert to fraction form
    13,862.16/20,790.72 = 3,999/x
  3. Step 3: Cross multiply
    13,862.16x = 20,790.72 × 3,999
  4. Step 4: Simplify right side
    13,862.16x = 83,142,089.28
  5. Step 5: Solve for x
    x = 83,142,089.28/13,862.16
  6. Step 6: Final answer
    x = 5,997.77

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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.