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Finding the Fourth Proportional to 14,138.82, 21,206.86 and 7,116.04

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Solution

The fourth proportional to 14,138.82, 21,206.86 and 7,116.04 is: 10,673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.82 : 21,206.86 = 7,116.04 : x
  2. Step 2: Convert to fraction form
    14,138.82/21,206.86 = 7,116.04/x
  3. Step 3: Cross multiply
    14,138.82x = 21,206.86 × 7,116.04
  4. Step 4: Simplify right side
    14,138.82x = 150,908,864.03
  5. Step 5: Solve for x
    x = 150,908,864.03/14,138.82
  6. Step 6: Final answer
    x = 10,673.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.