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Finding the Fourth Proportional to 14,500.96, 21,748.03 and 8,178.56

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Solution

The fourth proportional to 14,500.96, 21,748.03 and 8,178.56 is: 12,265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,500.96 : 21,748.03 = 8,178.56 : x
  2. Step 2: Convert to fraction form
    14,500.96/21,748.03 = 8,178.56/x
  3. Step 3: Cross multiply
    14,500.96x = 21,748.03 × 8,178.56
  4. Step 4: Simplify right side
    14,500.96x = 177,867,527.34
  5. Step 5: Solve for x
    x = 177,867,527.34/14,500.96
  6. Step 6: Final answer
    x = 12,265.92

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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.