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Finding the Fourth Proportional to 15,494.90, 21,383.09 and 8,421.32

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Solution

The fourth proportional to 15,494.90, 21,383.09 and 8,421.32 is: 11,621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.90 : 21,383.09 = 8,421.32 : x
  2. Step 2: Convert to fraction form
    15,494.90/21,383.09 = 8,421.32/x
  3. Step 3: Cross multiply
    15,494.90x = 21,383.09 × 8,421.32
  4. Step 4: Simplify right side
    15,494.90x = 180,073,843.48
  5. Step 5: Solve for x
    x = 180,073,843.48/15,494.90
  6. Step 6: Final answer
    x = 11,621.49

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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.