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Finding the Fourth Proportional to 13,470.71, 18,589.61 and 7,806.56

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Solution

The fourth proportional to 13,470.71, 18,589.61 and 7,806.56 is: 10,773.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.71 : 18,589.61 = 7,806.56 : x
  2. Step 2: Convert to fraction form
    13,470.71/18,589.61 = 7,806.56/x
  3. Step 3: Cross multiply
    13,470.71x = 18,589.61 × 7,806.56
  4. Step 4: Simplify right side
    13,470.71x = 145,120,773.86
  5. Step 5: Solve for x
    x = 145,120,773.86/13,470.71
  6. Step 6: Final answer
    x = 10,773.06

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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.