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Finding the Fourth Proportional to 13,589.78, 20,356.83 and 8,026.28

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Solution

The fourth proportional to 13,589.78, 20,356.83 and 8,026.28 is: 12,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589.78 : 20,356.83 = 8,026.28 : x
  2. Step 2: Convert to fraction form
    13,589.78/20,356.83 = 8,026.28/x
  3. Step 3: Cross multiply
    13,589.78x = 20,356.83 × 8,026.28
  4. Step 4: Simplify right side
    13,589.78x = 163,389,617.49
  5. Step 5: Solve for x
    x = 163,389,617.49/13,589.78
  6. Step 6: Final answer
    x = 12,022.98

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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.