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Finding the Fourth Proportional to 21,410.20, 29,546.94 and 11,978.20

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Solution

The fourth proportional to 21,410.20, 29,546.94 and 11,978.20 is: 16,530.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,410.20 : 29,546.94 = 11,978.20 : x
  2. Step 2: Convert to fraction form
    21,410.20/29,546.94 = 11,978.20/x
  3. Step 3: Cross multiply
    21,410.20x = 29,546.94 × 11,978.20
  4. Step 4: Simplify right side
    21,410.20x = 353,919,156.71
  5. Step 5: Solve for x
    x = 353,919,156.71/21,410.20
  6. Step 6: Final answer
    x = 16,530.40

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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.