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Finding the Fourth Proportional to 13,783, 19,014.24 and 8,475.88

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Solution

The fourth proportional to 13,783, 19,014.24 and 8,475.88 is: 11,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783 : 19,014.24 = 8,475.88 : x
  2. Step 2: Convert to fraction form
    13,783/19,014.24 = 8,475.88/x
  3. Step 3: Cross multiply
    13,783x = 19,014.24 × 8,475.88
  4. Step 4: Simplify right side
    13,783x = 161,162,416.53
  5. Step 5: Solve for x
    x = 161,162,416.53/13,783
  6. Step 6: Final answer
    x = 11,692.84

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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.