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Finding the Fourth Proportional to 13,213.12, 19,815 and 5,311.84

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Solution

The fourth proportional to 13,213.12, 19,815 and 5,311.84 is: 7,965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.12 : 19,815 = 5,311.84 : x
  2. Step 2: Convert to fraction form
    13,213.12/19,815 = 5,311.84/x
  3. Step 3: Cross multiply
    13,213.12x = 19,815 × 5,311.84
  4. Step 4: Simplify right side
    13,213.12x = 105,254,109.60
  5. Step 5: Solve for x
    x = 105,254,109.60/13,213.12
  6. Step 6: Final answer
    x = 7,965.88

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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.