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Finding the Fourth Proportional to 24,242.63, 33,446.12 and 15,286.86

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Solution

The fourth proportional to 24,242.63, 33,446.12 and 15,286.86 is: 21,090.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,242.63 : 33,446.12 = 15,286.86 : x
  2. Step 2: Convert to fraction form
    24,242.63/33,446.12 = 15,286.86/x
  3. Step 3: Cross multiply
    24,242.63x = 33,446.12 × 15,286.86
  4. Step 4: Simplify right side
    24,242.63x = 511,286,077.55
  5. Step 5: Solve for x
    x = 511,286,077.55/24,242.63
  6. Step 6: Final answer
    x = 21,090.38

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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.