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Finding the Fourth Proportional to 24,902.75, 34,365.80 and 13,724.75

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Solution

The fourth proportional to 24,902.75, 34,365.80 and 13,724.75 is: 18,940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,902.75 : 34,365.80 = 13,724.75 : x
  2. Step 2: Convert to fraction form
    24,902.75/34,365.80 = 13,724.75/x
  3. Step 3: Cross multiply
    24,902.75x = 34,365.80 × 13,724.75
  4. Step 4: Simplify right side
    24,902.75x = 471,662,013.55
  5. Step 5: Solve for x
    x = 471,662,013.55/24,902.75
  6. Step 6: Final answer
    x = 18,940.16

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1.5x scale

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.