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Finding the Fourth Proportional to 13,803, 19,052.94 and 8,213.88

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Solution

The fourth proportional to 13,803, 19,052.94 and 8,213.88 is: 11,338.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803 : 19,052.94 = 8,213.88 : x
  2. Step 2: Convert to fraction form
    13,803/19,052.94 = 8,213.88/x
  3. Step 3: Cross multiply
    13,803x = 19,052.94 × 8,213.88
  4. Step 4: Simplify right side
    13,803x = 156,498,562.81
  5. Step 5: Solve for x
    x = 156,498,562.81/13,803
  6. Step 6: Final answer
    x = 11,338.01

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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.