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Finding the Fourth Proportional to 13,415.14, 18,512.01 and 7,446.80

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Solution

The fourth proportional to 13,415.14, 18,512.01 and 7,446.80 is: 10,276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.14 : 18,512.01 = 7,446.80 : x
  2. Step 2: Convert to fraction form
    13,415.14/18,512.01 = 7,446.80/x
  3. Step 3: Cross multiply
    13,415.14x = 18,512.01 × 7,446.80
  4. Step 4: Simplify right side
    13,415.14x = 137,855,236.07
  5. Step 5: Solve for x
    x = 137,855,236.07/13,415.14
  6. Step 6: Final answer
    x = 10,276.10

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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.