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Finding the Fourth Proportional to 24,212, 36,325.28 and 8,627.60

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Solution

The fourth proportional to 24,212, 36,325.28 and 8,627.60 is: 12,943.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,212 : 36,325.28 = 8,627.60 : x
  2. Step 2: Convert to fraction form
    24,212/36,325.28 = 8,627.60/x
  3. Step 3: Cross multiply
    24,212x = 36,325.28 × 8,627.60
  4. Step 4: Simplify right side
    24,212x = 313,399,985.73
  5. Step 5: Solve for x
    x = 313,399,985.73/24,212
  6. Step 6: Final answer
    x = 12,943.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.