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Finding the Fourth Proportional to 17,569.72, 24,254.14 and 11,204.86

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Solution

The fourth proportional to 17,569.72, 24,254.14 and 11,204.86 is: 15,467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,569.72 : 24,254.14 = 11,204.86 : x
  2. Step 2: Convert to fraction form
    17,569.72/24,254.14 = 11,204.86/x
  3. Step 3: Cross multiply
    17,569.72x = 24,254.14 × 11,204.86
  4. Step 4: Simplify right side
    17,569.72x = 271,764,243.12
  5. Step 5: Solve for x
    x = 271,764,243.12/17,569.72
  6. Step 6: Final answer
    x = 15,467.76

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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.