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Finding the Fourth Proportional to 13,385.16, 18,471.26 and 7,416.70

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Solution

The fourth proportional to 13,385.16, 18,471.26 and 7,416.70 is: 10,234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.16 : 18,471.26 = 7,416.70 : x
  2. Step 2: Convert to fraction form
    13,385.16/18,471.26 = 7,416.70/x
  3. Step 3: Cross multiply
    13,385.16x = 18,471.26 × 7,416.70
  4. Step 4: Simplify right side
    13,385.16x = 136,995,766.41
  5. Step 5: Solve for x
    x = 136,995,766.41/13,385.16
  6. Step 6: Final answer
    x = 10,234.90

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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.