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Finding the Fourth Proportional to 13,703.83, 18,911.48 and 7,416.21

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Solution

The fourth proportional to 13,703.83, 18,911.48 and 7,416.21 is: 10,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.83 : 18,911.48 = 7,416.21 : x
  2. Step 2: Convert to fraction form
    13,703.83/18,911.48 = 7,416.21/x
  3. Step 3: Cross multiply
    13,703.83x = 18,911.48 × 7,416.21
  4. Step 4: Simplify right side
    13,703.83x = 140,251,434.55
  5. Step 5: Solve for x
    x = 140,251,434.55/13,703.83
  6. Step 6: Final answer
    x = 10,234.47

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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.