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Finding the Fourth Proportional to 13,686.92, 18,892.64 and 8,023.44

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Solution

The fourth proportional to 13,686.92, 18,892.64 and 8,023.44 is: 11,075.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.92 : 18,892.64 = 8,023.44 : x
  2. Step 2: Convert to fraction form
    13,686.92/18,892.64 = 8,023.44/x
  3. Step 3: Cross multiply
    13,686.92x = 18,892.64 × 8,023.44
  4. Step 4: Simplify right side
    13,686.92x = 151,583,963.48
  5. Step 5: Solve for x
    x = 151,583,963.48/13,686.92
  6. Step 6: Final answer
    x = 11,075.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.