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Finding the Fourth Proportional to 13,375.94, 18,458.18 and 7,407.14

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Solution

The fourth proportional to 13,375.94, 18,458.18 and 7,407.14 is: 10,221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,375.94 : 18,458.18 = 7,407.14 : x
  2. Step 2: Convert to fraction form
    13,375.94/18,458.18 = 7,407.14/x
  3. Step 3: Cross multiply
    13,375.94x = 18,458.18 × 7,407.14
  4. Step 4: Simplify right side
    13,375.94x = 136,722,323.41
  5. Step 5: Solve for x
    x = 136,722,323.41/13,375.94
  6. Step 6: Final answer
    x = 10,221.51

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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.