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Finding the Fourth Proportional to 21,826.83, 32,754.57 and 11,973

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Solution

The fourth proportional to 21,826.83, 32,754.57 and 11,973 is: 17,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,826.83 : 32,754.57 = 11,973 : x
  2. Step 2: Convert to fraction form
    21,826.83/32,754.57 = 11,973/x
  3. Step 3: Cross multiply
    21,826.83x = 32,754.57 × 11,973
  4. Step 4: Simplify right side
    21,826.83x = 392,170,466.61
  5. Step 5: Solve for x
    x = 392,170,466.61/21,826.83
  6. Step 6: Final answer
    x = 17,967.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.