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Finding the Fourth Proportional to 21,781.63, 30,054 and 12,825.86

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Solution

The fourth proportional to 21,781.63, 30,054 and 12,825.86 is: 17,696.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781.63 : 30,054 = 12,825.86 : x
  2. Step 2: Convert to fraction form
    21,781.63/30,054 = 12,825.86/x
  3. Step 3: Cross multiply
    21,781.63x = 30,054 × 12,825.86
  4. Step 4: Simplify right side
    21,781.63x = 385,468,396.44
  5. Step 5: Solve for x
    x = 385,468,396.44/21,781.63
  6. Step 6: Final answer
    x = 17,696.95

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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.