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Finding the Fourth Proportional to 21,884.64, 30,197.76 and 12,452.16

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Solution

The fourth proportional to 21,884.64, 30,197.76 and 12,452.16 is: 17,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,884.64 : 30,197.76 = 12,452.16 : x
  2. Step 2: Convert to fraction form
    21,884.64/30,197.76 = 12,452.16/x
  3. Step 3: Cross multiply
    21,884.64x = 30,197.76 × 12,452.16
  4. Step 4: Simplify right side
    21,884.64x = 376,027,339.16
  5. Step 5: Solve for x
    x = 376,027,339.16/21,884.64
  6. Step 6: Final answer
    x = 17,182.25

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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.