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Finding the Fourth Proportional to 13,930.79, 19,224.93 and 7,643.75

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Solution

The fourth proportional to 13,930.79, 19,224.93 and 7,643.75 is: 10,548.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.79 : 19,224.93 = 7,643.75 : x
  2. Step 2: Convert to fraction form
    13,930.79/19,224.93 = 7,643.75/x
  3. Step 3: Cross multiply
    13,930.79x = 19,224.93 × 7,643.75
  4. Step 4: Simplify right side
    13,930.79x = 146,950,462.56
  5. Step 5: Solve for x
    x = 146,950,462.56/13,930.79
  6. Step 6: Final answer
    x = 10,548.61

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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.