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Finding the Fourth Proportional to 13,684.74, 18,884.94 and 7,397.12

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Solution

The fourth proportional to 13,684.74, 18,884.94 and 7,397.12 is: 10,208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.74 : 18,884.94 = 7,397.12 : x
  2. Step 2: Convert to fraction form
    13,684.74/18,884.94 = 7,397.12/x
  3. Step 3: Cross multiply
    13,684.74x = 18,884.94 × 7,397.12
  4. Step 4: Simplify right side
    13,684.74x = 139,694,167.37
  5. Step 5: Solve for x
    x = 139,694,167.37/13,684.74
  6. Step 6: Final answer
    x = 10,208.02

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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.