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Finding the Fourth Proportional to 14,112.12, 19,474 and 7,824.88

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Solution

The fourth proportional to 14,112.12, 19,474 and 7,824.88 is: 10,797.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,112.12 : 19,474 = 7,824.88 : x
  2. Step 2: Convert to fraction form
    14,112.12/19,474 = 7,824.88/x
  3. Step 3: Cross multiply
    14,112.12x = 19,474 × 7,824.88
  4. Step 4: Simplify right side
    14,112.12x = 152,381,713.12
  5. Step 5: Solve for x
    x = 152,381,713.12/14,112.12
  6. Step 6: Final answer
    x = 10,797.93

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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.