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Finding the Fourth Proportional to 17,498.30, 24,147.86 and 9,540.45

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Solution

The fourth proportional to 17,498.30, 24,147.86 and 9,540.45 is: 13,165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,498.30 : 24,147.86 = 9,540.45 : x
  2. Step 2: Convert to fraction form
    17,498.30/24,147.86 = 9,540.45/x
  3. Step 3: Cross multiply
    17,498.30x = 24,147.86 × 9,540.45
  4. Step 4: Simplify right side
    17,498.30x = 230,381,403.23
  5. Step 5: Solve for x
    x = 230,381,403.23/17,498.30
  6. Step 6: Final answer
    x = 13,165.93

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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.