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Finding the Fourth Proportional to 21,581.92, 29,766 and 14,128.48

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Solution

The fourth proportional to 21,581.92, 29,766 and 14,128.48 is: 19,486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,581.92 : 29,766 = 14,128.48 : x
  2. Step 2: Convert to fraction form
    21,581.92/29,766 = 14,128.48/x
  3. Step 3: Cross multiply
    21,581.92x = 29,766 × 14,128.48
  4. Step 4: Simplify right side
    21,581.92x = 420,548,335.68
  5. Step 5: Solve for x
    x = 420,548,335.68/21,581.92
  6. Step 6: Final answer
    x = 19,486.14

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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.