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Finding the Fourth Proportional to 13,188.80, 19,687.87 and 11,219.96

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Solution

The fourth proportional to 13,188.80, 19,687.87 and 11,219.96 is: 16,748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.80 : 19,687.87 = 11,219.96 : x
  2. Step 2: Convert to fraction form
    13,188.80/19,687.87 = 11,219.96/x
  3. Step 3: Cross multiply
    13,188.80x = 19,687.87 × 11,219.96
  4. Step 4: Simplify right side
    13,188.80x = 220,897,113.89
  5. Step 5: Solve for x
    x = 220,897,113.89/13,188.80
  6. Step 6: Final answer
    x = 16,748.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.