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Finding the Fourth Proportional to 13,734.09, 18,952.86 and 7,446.33

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Solution

The fourth proportional to 13,734.09, 18,952.86 and 7,446.33 is: 10,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.09 : 18,952.86 = 7,446.33 : x
  2. Step 2: Convert to fraction form
    13,734.09/18,952.86 = 7,446.33/x
  3. Step 3: Cross multiply
    13,734.09x = 18,952.86 × 7,446.33
  4. Step 4: Simplify right side
    13,734.09x = 141,129,250.00
  5. Step 5: Solve for x
    x = 141,129,250.00/13,734.09
  6. Step 6: Final answer
    x = 10,275.84

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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.