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Finding the Fourth Proportional to 17,245, 23,809.26 and 13,461.64

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Solution

The fourth proportional to 17,245, 23,809.26 and 13,461.64 is: 18,585.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,245 : 23,809.26 = 13,461.64 : x
  2. Step 2: Convert to fraction form
    17,245/23,809.26 = 13,461.64/x
  3. Step 3: Cross multiply
    17,245x = 23,809.26 × 13,461.64
  4. Step 4: Simplify right side
    17,245x = 320,511,686.79
  5. Step 5: Solve for x
    x = 320,511,686.79/17,245
  6. Step 6: Final answer
    x = 18,585.77

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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.