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Finding the Fourth Proportional to 24,813, 34,242.48 and 13,635

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Solution

The fourth proportional to 24,813, 34,242.48 and 13,635 is: 18,816.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,813 : 34,242.48 = 13,635 : x
  2. Step 2: Convert to fraction form
    24,813/34,242.48 = 13,635/x
  3. Step 3: Cross multiply
    24,813x = 34,242.48 × 13,635
  4. Step 4: Simplify right side
    24,813x = 466,896,214.80
  5. Step 5: Solve for x
    x = 466,896,214.80/24,813
  6. Step 6: Final answer
    x = 18,816.60

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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.