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Finding the Fourth Proportional to 21,513.08, 32,264.73 and 8,181.32

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Solution

The fourth proportional to 21,513.08, 32,264.73 and 8,181.32 is: 12,270.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,513.08 : 32,264.73 = 8,181.32 : x
  2. Step 2: Convert to fraction form
    21,513.08/32,264.73 = 8,181.32/x
  3. Step 3: Cross multiply
    21,513.08x = 32,264.73 × 8,181.32
  4. Step 4: Simplify right side
    21,513.08x = 263,967,919.52
  5. Step 5: Solve for x
    x = 263,967,919.52/21,513.08
  6. Step 6: Final answer
    x = 12,270.12

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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.