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Finding the Fourth Proportional to 13,966.84, 19,273.68 and 7,679.14

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Solution

The fourth proportional to 13,966.84, 19,273.68 and 7,679.14 is: 10,596.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,966.84 : 19,273.68 = 7,679.14 : x
  2. Step 2: Convert to fraction form
    13,966.84/19,273.68 = 7,679.14/x
  3. Step 3: Cross multiply
    13,966.84x = 19,273.68 × 7,679.14
  4. Step 4: Simplify right side
    13,966.84x = 148,005,287.04
  5. Step 5: Solve for x
    x = 148,005,287.04/13,966.84
  6. Step 6: Final answer
    x = 10,596.91

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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.