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Finding the Fourth Proportional to 15,234.12, 22,851.63 and 5,380.20

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Solution

The fourth proportional to 15,234.12, 22,851.63 and 5,380.20 is: 8,070.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,234.12 : 22,851.63 = 5,380.20 : x
  2. Step 2: Convert to fraction form
    15,234.12/22,851.63 = 5,380.20/x
  3. Step 3: Cross multiply
    15,234.12x = 22,851.63 × 5,380.20
  4. Step 4: Simplify right side
    15,234.12x = 122,946,339.73
  5. Step 5: Solve for x
    x = 122,946,339.73/15,234.12
  6. Step 6: Final answer
    x = 8,070.46

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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.