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Finding the Fourth Proportional to 14,006.94, 20,993.70 and 9,767.28

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Solution

The fourth proportional to 14,006.94, 20,993.70 and 9,767.28 is: 14,639.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.94 : 20,993.70 = 9,767.28 : x
  2. Step 2: Convert to fraction form
    14,006.94/20,993.70 = 9,767.28/x
  3. Step 3: Cross multiply
    14,006.94x = 20,993.70 × 9,767.28
  4. Step 4: Simplify right side
    14,006.94x = 205,051,346.14
  5. Step 5: Solve for x
    x = 205,051,346.14/14,006.94
  6. Step 6: Final answer
    x = 14,639.27

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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.