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Finding the Fourth Proportional to 21,874, 30,187.76 and 12,445.60

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Solution

The fourth proportional to 21,874, 30,187.76 and 12,445.60 is: 17,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874 : 30,187.76 = 12,445.60 : x
  2. Step 2: Convert to fraction form
    21,874/30,187.76 = 12,445.60/x
  3. Step 3: Cross multiply
    21,874x = 30,187.76 × 12,445.60
  4. Step 4: Simplify right side
    21,874x = 375,704,785.86
  5. Step 5: Solve for x
    x = 375,704,785.86/21,874
  6. Step 6: Final answer
    x = 17,175.86

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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.