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Finding the Fourth Proportional to 13,934.56, 19,225 and 7,961.99

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Solution

The fourth proportional to 13,934.56, 19,225 and 7,961.99 is: 10,984.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,934.56 : 19,225 = 7,961.99 : x
  2. Step 2: Convert to fraction form
    13,934.56/19,225 = 7,961.99/x
  3. Step 3: Cross multiply
    13,934.56x = 19,225 × 7,961.99
  4. Step 4: Simplify right side
    13,934.56x = 153,069,257.75
  5. Step 5: Solve for x
    x = 153,069,257.75/13,934.56
  6. Step 6: Final answer
    x = 10,984.86

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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.