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Finding the Fourth Proportional to 14,500.95, 21,759.78 and 7,837.46

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Solution

The fourth proportional to 14,500.95, 21,759.78 and 7,837.46 is: 11,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,500.95 : 21,759.78 = 7,837.46 : x
  2. Step 2: Convert to fraction form
    14,500.95/21,759.78 = 7,837.46/x
  3. Step 3: Cross multiply
    14,500.95x = 21,759.78 × 7,837.46
  4. Step 4: Simplify right side
    14,500.95x = 170,541,405.36
  5. Step 5: Solve for x
    x = 170,541,405.36/14,500.95
  6. Step 6: Final answer
    x = 11,760.71

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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.