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Finding the Fourth Proportional to 21,416.75, 29,555.16 and 11,987.54

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Solution

The fourth proportional to 21,416.75, 29,555.16 and 11,987.54 is: 16,542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,416.75 : 29,555.16 = 11,987.54 : x
  2. Step 2: Convert to fraction form
    21,416.75/29,555.16 = 11,987.54/x
  3. Step 3: Cross multiply
    21,416.75x = 29,555.16 × 11,987.54
  4. Step 4: Simplify right side
    21,416.75x = 354,293,662.71
  5. Step 5: Solve for x
    x = 354,293,662.71/21,416.75
  6. Step 6: Final answer
    x = 16,542.83

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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.