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Finding the Fourth Proportional to 21,181.32, 31,767.48 and 8,029.08

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Solution

The fourth proportional to 21,181.32, 31,767.48 and 8,029.08 is: 12,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,181.32 : 31,767.48 = 8,029.08 : x
  2. Step 2: Convert to fraction form
    21,181.32/31,767.48 = 8,029.08/x
  3. Step 3: Cross multiply
    21,181.32x = 31,767.48 × 8,029.08
  4. Step 4: Simplify right side
    21,181.32x = 255,063,638.32
  5. Step 5: Solve for x
    x = 255,063,638.32/21,181.32
  6. Step 6: Final answer
    x = 12,041.91

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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.