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Finding the Fourth Proportional to 24,814, 34,243.32 and 13,636

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Solution

The fourth proportional to 24,814, 34,243.32 and 13,636 is: 18,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814 : 34,243.32 = 13,636 : x
  2. Step 2: Convert to fraction form
    24,814/34,243.32 = 13,636/x
  3. Step 3: Cross multiply
    24,814x = 34,243.32 × 13,636
  4. Step 4: Simplify right side
    24,814x = 466,941,911.52
  5. Step 5: Solve for x
    x = 466,941,911.52/24,814
  6. Step 6: Final answer
    x = 18,817.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.