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Finding the Fourth Proportional to 14,243.25, 19,655.69 and 7,955.76

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Solution

The fourth proportional to 14,243.25, 19,655.69 and 7,955.76 is: 10,978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,243.25 : 19,655.69 = 7,955.76 : x
  2. Step 2: Convert to fraction form
    14,243.25/19,655.69 = 7,955.76/x
  3. Step 3: Cross multiply
    14,243.25x = 19,655.69 × 7,955.76
  4. Step 4: Simplify right side
    14,243.25x = 156,375,912.50
  5. Step 5: Solve for x
    x = 156,375,912.50/14,243.25
  6. Step 6: Final answer
    x = 10,978.95

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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.