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Finding the Fourth Proportional to 21,826.84, 32,742.36 and 8,676.28

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Solution

The fourth proportional to 21,826.84, 32,742.36 and 8,676.28 is: 13,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,826.84 : 32,742.36 = 8,676.28 : x
  2. Step 2: Convert to fraction form
    21,826.84/32,742.36 = 8,676.28/x
  3. Step 3: Cross multiply
    21,826.84x = 32,742.36 × 8,676.28
  4. Step 4: Simplify right side
    21,826.84x = 284,081,883.22
  5. Step 5: Solve for x
    x = 284,081,883.22/21,826.84
  6. Step 6: Final answer
    x = 13,015.25

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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.