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Finding the Fourth Proportional to 17,456.26, 24,090.15 and 9,499

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Solution

The fourth proportional to 17,456.26, 24,090.15 and 9,499 is: 13,108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,456.26 : 24,090.15 = 9,499 : x
  2. Step 2: Convert to fraction form
    17,456.26/24,090.15 = 9,499/x
  3. Step 3: Cross multiply
    17,456.26x = 24,090.15 × 9,499
  4. Step 4: Simplify right side
    17,456.26x = 228,832,334.85
  5. Step 5: Solve for x
    x = 228,832,334.85/17,456.26
  6. Step 6: Final answer
    x = 13,108.90

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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.