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Finding the Fourth Proportional to 13,811.52, 20,700.84 and 7,956

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Solution

The fourth proportional to 13,811.52, 20,700.84 and 7,956 is: 11,924.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.52 : 20,700.84 = 7,956 : x
  2. Step 2: Convert to fraction form
    13,811.52/20,700.84 = 7,956/x
  3. Step 3: Cross multiply
    13,811.52x = 20,700.84 × 7,956
  4. Step 4: Simplify right side
    13,811.52x = 164,695,883.04
  5. Step 5: Solve for x
    x = 164,695,883.04/13,811.52
  6. Step 6: Final answer
    x = 11,924.53

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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.