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Finding the Fourth Proportional to 14,350.14, 19,802.81 and 7,976.57

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Solution

The fourth proportional to 14,350.14, 19,802.81 and 7,976.57 is: 11,007.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,350.14 : 19,802.81 = 7,976.57 : x
  2. Step 2: Convert to fraction form
    14,350.14/19,802.81 = 7,976.57/x
  3. Step 3: Cross multiply
    14,350.14x = 19,802.81 × 7,976.57
  4. Step 4: Simplify right side
    14,350.14x = 157,958,529.73
  5. Step 5: Solve for x
    x = 157,958,529.73/14,350.14
  6. Step 6: Final answer
    x = 11,007.46

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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.