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Finding the Fourth Proportional to 17,684.20, 24,399.78 and 11,389

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Solution

The fourth proportional to 17,684.20, 24,399.78 and 11,389 is: 15,713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.20 : 24,399.78 = 11,389 : x
  2. Step 2: Convert to fraction form
    17,684.20/24,399.78 = 11,389/x
  3. Step 3: Cross multiply
    17,684.20x = 24,399.78 × 11,389
  4. Step 4: Simplify right side
    17,684.20x = 277,889,094.42
  5. Step 5: Solve for x
    x = 277,889,094.42/17,684.20
  6. Step 6: Final answer
    x = 15,713.98

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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.