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Finding the Fourth Proportional to 12,483.82, 17,233.32 and 7,948.36

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Solution

The fourth proportional to 12,483.82, 17,233.32 and 7,948.36 is: 10,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,483.82 : 17,233.32 = 7,948.36 : x
  2. Step 2: Convert to fraction form
    12,483.82/17,233.32 = 7,948.36/x
  3. Step 3: Cross multiply
    12,483.82x = 17,233.32 × 7,948.36
  4. Step 4: Simplify right side
    12,483.82x = 136,976,631.36
  5. Step 5: Solve for x
    x = 136,976,631.36/12,483.82
  6. Step 6: Final answer
    x = 10,972.33

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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.