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Finding the Fourth Proportional to 13,684.80, 18,884.96 and 7,397.12

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Solution

The fourth proportional to 13,684.80, 18,884.96 and 7,397.12 is: 10,207.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.80 : 18,884.96 = 7,397.12 : x
  2. Step 2: Convert to fraction form
    13,684.80/18,884.96 = 7,397.12/x
  3. Step 3: Cross multiply
    13,684.80x = 18,884.96 × 7,397.12
  4. Step 4: Simplify right side
    13,684.80x = 139,694,315.32
  5. Step 5: Solve for x
    x = 139,694,315.32/13,684.80
  6. Step 6: Final answer
    x = 10,207.99

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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.