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Finding the Fourth Proportional to 17,478.75, 24,113.84 and 11,513.55

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Solution

The fourth proportional to 17,478.75, 24,113.84 and 11,513.55 is: 15,884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,478.75 : 24,113.84 = 11,513.55 : x
  2. Step 2: Convert to fraction form
    17,478.75/24,113.84 = 11,513.55/x
  3. Step 3: Cross multiply
    17,478.75x = 24,113.84 × 11,513.55
  4. Step 4: Simplify right side
    17,478.75x = 277,635,844.96
  5. Step 5: Solve for x
    x = 277,635,844.96/17,478.75
  6. Step 6: Final answer
    x = 15,884.19

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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.