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Finding the Fourth Proportional to 13,700.09, 18,906.12 and 7,412.46

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Solution

The fourth proportional to 13,700.09, 18,906.12 and 7,412.46 is: 10,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.09 : 18,906.12 = 7,412.46 : x
  2. Step 2: Convert to fraction form
    13,700.09/18,906.12 = 7,412.46/x
  3. Step 3: Cross multiply
    13,700.09x = 18,906.12 × 7,412.46
  4. Step 4: Simplify right side
    13,700.09x = 140,140,858.26
  5. Step 5: Solve for x
    x = 140,140,858.26/13,700.09
  6. Step 6: Final answer
    x = 10,229.20

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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.