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Finding the Fourth Proportional to 13,921.94, 19,212.14 and 7,634.18

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Solution

The fourth proportional to 13,921.94, 19,212.14 and 7,634.18 is: 10,535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,921.94 : 19,212.14 = 7,634.18 : x
  2. Step 2: Convert to fraction form
    13,921.94/19,212.14 = 7,634.18/x
  3. Step 3: Cross multiply
    13,921.94x = 19,212.14 × 7,634.18
  4. Step 4: Simplify right side
    13,921.94x = 146,668,934.95
  5. Step 5: Solve for x
    x = 146,668,934.95/13,921.94
  6. Step 6: Final answer
    x = 10,535.09

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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.