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Finding the Fourth Proportional to 17,685.20, 24,401.16 and 11,390

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Solution

The fourth proportional to 17,685.20, 24,401.16 and 11,390 is: 15,715.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.20 : 24,401.16 = 11,390 : x
  2. Step 2: Convert to fraction form
    17,685.20/24,401.16 = 11,390/x
  3. Step 3: Cross multiply
    17,685.20x = 24,401.16 × 11,390
  4. Step 4: Simplify right side
    17,685.20x = 277,929,212.40
  5. Step 5: Solve for x
    x = 277,929,212.40/17,685.20
  6. Step 6: Final answer
    x = 15,715.36

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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.