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Finding the Fourth Proportional to 13,497.12, 18,626.67 and 9,022.68

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Solution

The fourth proportional to 13,497.12, 18,626.67 and 9,022.68 is: 12,451.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.12 : 18,626.67 = 9,022.68 : x
  2. Step 2: Convert to fraction form
    13,497.12/18,626.67 = 9,022.68/x
  3. Step 3: Cross multiply
    13,497.12x = 18,626.67 × 9,022.68
  4. Step 4: Simplify right side
    13,497.12x = 168,062,482.88
  5. Step 5: Solve for x
    x = 168,062,482.88/13,497.12
  6. Step 6: Final answer
    x = 12,451.73

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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.