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Finding the Fourth Proportional to 17,712.51, 24,442.97 and 9,755.48

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Solution

The fourth proportional to 17,712.51, 24,442.97 and 9,755.48 is: 13,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712.51 : 24,442.97 = 9,755.48 : x
  2. Step 2: Convert to fraction form
    17,712.51/24,442.97 = 9,755.48/x
  3. Step 3: Cross multiply
    17,712.51x = 24,442.97 × 9,755.48
  4. Step 4: Simplify right side
    17,712.51x = 238,452,733.98
  5. Step 5: Solve for x
    x = 238,452,733.98/17,712.51
  6. Step 6: Final answer
    x = 13,462.39

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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.