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Finding the Fourth Proportional to 17,447.10, 24,076.74 and 9,489.15

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Solution

The fourth proportional to 17,447.10, 24,076.74 and 9,489.15 is: 13,094.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,447.10 : 24,076.74 = 9,489.15 : x
  2. Step 2: Convert to fraction form
    17,447.10/24,076.74 = 9,489.15/x
  3. Step 3: Cross multiply
    17,447.10x = 24,076.74 × 9,489.15
  4. Step 4: Simplify right side
    17,447.10x = 228,467,832.96
  5. Step 5: Solve for x
    x = 228,467,832.96/17,447.10
  6. Step 6: Final answer
    x = 13,094.89

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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.