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Finding the Fourth Proportional to 13,422.68, 18,532.57 and 8,389.16

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Solution

The fourth proportional to 13,422.68, 18,532.57 and 8,389.16 is: 11,582.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.68 : 18,532.57 = 8,389.16 : x
  2. Step 2: Convert to fraction form
    13,422.68/18,532.57 = 8,389.16/x
  3. Step 3: Cross multiply
    13,422.68x = 18,532.57 × 8,389.16
  4. Step 4: Simplify right side
    13,422.68x = 155,472,716.15
  5. Step 5: Solve for x
    x = 155,472,716.15/13,422.68
  6. Step 6: Final answer
    x = 11,582.84

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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.