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Finding the Fourth Proportional to 13,470.92, 18,589.13 and 7,420.96

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Solution

The fourth proportional to 13,470.92, 18,589.13 and 7,420.96 is: 10,240.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.92 : 18,589.13 = 7,420.96 : x
  2. Step 2: Convert to fraction form
    13,470.92/18,589.13 = 7,420.96/x
  3. Step 3: Cross multiply
    13,470.92x = 18,589.13 × 7,420.96
  4. Step 4: Simplify right side
    13,470.92x = 137,949,245.87
  5. Step 5: Solve for x
    x = 137,949,245.87/13,470.92
  6. Step 6: Final answer
    x = 10,240.52

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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.