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Finding the Fourth Proportional to 13,703.92, 18,911.41 and 7,416.30

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Solution

The fourth proportional to 13,703.92, 18,911.41 and 7,416.30 is: 10,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.92 : 18,911.41 = 7,416.30 : x
  2. Step 2: Convert to fraction form
    13,703.92/18,911.41 = 7,416.30/x
  3. Step 3: Cross multiply
    13,703.92x = 18,911.41 × 7,416.30
  4. Step 4: Simplify right side
    13,703.92x = 140,252,689.98
  5. Step 5: Solve for x
    x = 140,252,689.98/13,703.92
  6. Step 6: Final answer
    x = 10,234.49

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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.