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Finding the Fourth Proportional to 21,580.64, 29,781.84 and 12,149.54

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Solution

The fourth proportional to 21,580.64, 29,781.84 and 12,149.54 is: 16,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,580.64 : 29,781.84 = 12,149.54 : x
  2. Step 2: Convert to fraction form
    21,580.64/29,781.84 = 12,149.54/x
  3. Step 3: Cross multiply
    21,580.64x = 29,781.84 × 12,149.54
  4. Step 4: Simplify right side
    21,580.64x = 361,835,656.35
  5. Step 5: Solve for x
    x = 361,835,656.35/21,580.64
  6. Step 6: Final answer
    x = 16,766.68

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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.