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Finding the Fourth Proportional to 14,105.33, 21,156.88 and 7,078.17

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Solution

The fourth proportional to 14,105.33, 21,156.88 and 7,078.17 is: 10,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.33 : 21,156.88 = 7,078.17 : x
  2. Step 2: Convert to fraction form
    14,105.33/21,156.88 = 7,078.17/x
  3. Step 3: Cross multiply
    14,105.33x = 21,156.88 × 7,078.17
  4. Step 4: Simplify right side
    14,105.33x = 149,751,993.31
  5. Step 5: Solve for x
    x = 149,751,993.31/14,105.33
  6. Step 6: Final answer
    x = 10,616.70

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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.