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Finding the Fourth Proportional to 17,456.82, 24,090.62 and 9,498.87

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Solution

The fourth proportional to 17,456.82, 24,090.62 and 9,498.87 is: 13,108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,456.82 : 24,090.62 = 9,498.87 : x
  2. Step 2: Convert to fraction form
    17,456.82/24,090.62 = 9,498.87/x
  3. Step 3: Cross multiply
    17,456.82x = 24,090.62 × 9,498.87
  4. Step 4: Simplify right side
    17,456.82x = 228,833,620.11
  5. Step 5: Solve for x
    x = 228,833,620.11/17,456.82
  6. Step 6: Final answer
    x = 13,108.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.