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Finding the Fourth Proportional to 13,960.96, 19,242.24 and 10,228.48

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Solution

The fourth proportional to 13,960.96, 19,242.24 and 10,228.48 is: 14,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,960.96 : 19,242.24 = 10,228.48 : x
  2. Step 2: Convert to fraction form
    13,960.96/19,242.24 = 10,228.48/x
  3. Step 3: Cross multiply
    13,960.96x = 19,242.24 × 10,228.48
  4. Step 4: Simplify right side
    13,960.96x = 196,818,867.00
  5. Step 5: Solve for x
    x = 196,818,867.00/13,960.96
  6. Step 6: Final answer
    x = 14,097.80

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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.