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Finding the Fourth Proportional to 16,181.16, 24,281.18 and 6,820.61

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Solution

The fourth proportional to 16,181.16, 24,281.18 and 6,820.61 is: 10,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,181.16 : 24,281.18 = 6,820.61 : x
  2. Step 2: Convert to fraction form
    16,181.16/24,281.18 = 6,820.61/x
  3. Step 3: Cross multiply
    16,181.16x = 24,281.18 × 6,820.61
  4. Step 4: Simplify right side
    16,181.16x = 165,612,303.61
  5. Step 5: Solve for x
    x = 165,612,303.61/16,181.16
  6. Step 6: Final answer
    x = 10,234.88

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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.