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Finding the Fourth Proportional to 13,703.97, 18,911.45 and 7,416.35

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Solution

The fourth proportional to 13,703.97, 18,911.45 and 7,416.35 is: 10,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.97 : 18,911.45 = 7,416.35 : x
  2. Step 2: Convert to fraction form
    13,703.97/18,911.45 = 7,416.35/x
  3. Step 3: Cross multiply
    13,703.97x = 18,911.45 × 7,416.35
  4. Step 4: Simplify right side
    13,703.97x = 140,253,856.19
  5. Step 5: Solve for x
    x = 140,253,856.19/13,703.97
  6. Step 6: Final answer
    x = 10,234.54

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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.