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Finding the Fourth Proportional to 15,234.90, 22,840.20 and 6,462.60

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Solution

The fourth proportional to 15,234.90, 22,840.20 and 6,462.60 is: 9,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,234.90 : 22,840.20 = 6,462.60 : x
  2. Step 2: Convert to fraction form
    15,234.90/22,840.20 = 6,462.60/x
  3. Step 3: Cross multiply
    15,234.90x = 22,840.20 × 6,462.60
  4. Step 4: Simplify right side
    15,234.90x = 147,607,076.52
  5. Step 5: Solve for x
    x = 147,607,076.52/15,234.90
  6. Step 6: Final answer
    x = 9,688.75

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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.