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Finding the Fourth Proportional to 21,584.64, 29,778.12 and 16,883.40

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Solution

The fourth proportional to 21,584.64, 29,778.12 and 16,883.40 is: 23,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,584.64 : 29,778.12 = 16,883.40 : x
  2. Step 2: Convert to fraction form
    21,584.64/29,778.12 = 16,883.40/x
  3. Step 3: Cross multiply
    21,584.64x = 29,778.12 × 16,883.40
  4. Step 4: Simplify right side
    21,584.64x = 502,755,911.21
  5. Step 5: Solve for x
    x = 502,755,911.21/21,584.64
  6. Step 6: Final answer
    x = 23,292.30

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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.