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Finding the Fourth Proportional to 14,488, 19,993.46 and 7,864

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Solution

The fourth proportional to 14,488, 19,993.46 and 7,864 is: 10,852.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,488 : 19,993.46 = 7,864 : x
  2. Step 2: Convert to fraction form
    14,488/19,993.46 = 7,864/x
  3. Step 3: Cross multiply
    14,488x = 19,993.46 × 7,864
  4. Step 4: Simplify right side
    14,488x = 157,228,569.44
  5. Step 5: Solve for x
    x = 157,228,569.44/14,488
  6. Step 6: Final answer
    x = 10,852.33

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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.