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Finding the Fourth Proportional to 11,924.92, 17,881.23 and 6,305.63

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Solution

The fourth proportional to 11,924.92, 17,881.23 and 6,305.63 is: 9,455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,924.92 : 17,881.23 = 6,305.63 : x
  2. Step 2: Convert to fraction form
    11,924.92/17,881.23 = 6,305.63/x
  3. Step 3: Cross multiply
    11,924.92x = 17,881.23 × 6,305.63
  4. Step 4: Simplify right side
    11,924.92x = 112,752,330.92
  5. Step 5: Solve for x
    x = 112,752,330.92/11,924.92
  6. Step 6: Final answer
    x = 9,455.19

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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.