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Finding the Fourth Proportional to 13,783.77, 19,013.74 and 8,474.83

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Solution

The fourth proportional to 13,783.77, 19,013.74 and 8,474.83 is: 11,690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.77 : 19,013.74 = 8,474.83 : x
  2. Step 2: Convert to fraction form
    13,783.77/19,013.74 = 8,474.83/x
  3. Step 3: Cross multiply
    13,783.77x = 19,013.74 × 8,474.83
  4. Step 4: Simplify right side
    13,783.77x = 161,138,145.44
  5. Step 5: Solve for x
    x = 161,138,145.44/13,783.77
  6. Step 6: Final answer
    x = 11,690.43

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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.