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Finding the Fourth Proportional to 13,958.25, 19,253.75 and 9,178.75

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Solution

The fourth proportional to 13,958.25, 19,253.75 and 9,178.75 is: 12,660.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958.25 : 19,253.75 = 9,178.75 : x
  2. Step 2: Convert to fraction form
    13,958.25/19,253.75 = 9,178.75/x
  3. Step 3: Cross multiply
    13,958.25x = 19,253.75 × 9,178.75
  4. Step 4: Simplify right side
    13,958.25x = 176,725,238.60
  5. Step 5: Solve for x
    x = 176,725,238.60/13,958.25
  6. Step 6: Final answer
    x = 12,660.99

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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.