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Finding the Fourth Proportional to 15,259.89, 22,874.10 and 6,380.42

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Solution

The fourth proportional to 15,259.89, 22,874.10 and 6,380.42 is: 9,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,259.89 : 22,874.10 = 6,380.42 : x
  2. Step 2: Convert to fraction form
    15,259.89/22,874.10 = 6,380.42/x
  3. Step 3: Cross multiply
    15,259.89x = 22,874.10 × 6,380.42
  4. Step 4: Simplify right side
    15,259.89x = 145,946,355.49
  5. Step 5: Solve for x
    x = 145,946,355.49/15,259.89
  6. Step 6: Final answer
    x = 9,564.05

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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.