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Finding the Fourth Proportional to 17,478.75, 24,117.03 and 11,814.42

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Solution

The fourth proportional to 17,478.75, 24,117.03 and 11,814.42 is: 16,301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,478.75 : 24,117.03 = 11,814.42 : x
  2. Step 2: Convert to fraction form
    17,478.75/24,117.03 = 11,814.42/x
  3. Step 3: Cross multiply
    17,478.75x = 24,117.03 × 11,814.42
  4. Step 4: Simplify right side
    17,478.75x = 284,928,721.57
  5. Step 5: Solve for x
    x = 284,928,721.57/17,478.75
  6. Step 6: Final answer
    x = 16,301.44

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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.