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Finding the Fourth Proportional to 24,378.66, 33,640.08 and 13,766.24

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Solution

The fourth proportional to 24,378.66, 33,640.08 and 13,766.24 is: 18,996.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378.66 : 33,640.08 = 13,766.24 : x
  2. Step 2: Convert to fraction form
    24,378.66/33,640.08 = 13,766.24/x
  3. Step 3: Cross multiply
    24,378.66x = 33,640.08 × 13,766.24
  4. Step 4: Simplify right side
    24,378.66x = 463,097,447.38
  5. Step 5: Solve for x
    x = 463,097,447.38/24,378.66
  6. Step 6: Final answer
    x = 18,996.02

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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.