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Finding the Fourth Proportional to 13,758.45, 18,984.84 and 8,713.77

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Solution

The fourth proportional to 13,758.45, 18,984.84 and 8,713.77 is: 12,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.45 : 18,984.84 = 8,713.77 : x
  2. Step 2: Convert to fraction form
    13,758.45/18,984.84 = 8,713.77/x
  3. Step 3: Cross multiply
    13,758.45x = 18,984.84 × 8,713.77
  4. Step 4: Simplify right side
    13,758.45x = 165,429,529.25
  5. Step 5: Solve for x
    x = 165,429,529.25/13,758.45
  6. Step 6: Final answer
    x = 12,023.85

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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.