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Finding the Fourth Proportional to 21,676.83, 32,502.93 and 8,522.02

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Solution

The fourth proportional to 21,676.83, 32,502.93 and 8,522.02 is: 12,778.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676.83 : 32,502.93 = 8,522.02 : x
  2. Step 2: Convert to fraction form
    21,676.83/32,502.93 = 8,522.02/x
  3. Step 3: Cross multiply
    21,676.83x = 32,502.93 × 8,522.02
  4. Step 4: Simplify right side
    21,676.83x = 276,990,619.52
  5. Step 5: Solve for x
    x = 276,990,619.52/21,676.83
  6. Step 6: Final answer
    x = 12,778.19

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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.