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Finding the Fourth Proportional to 13,378.68, 18,462.97 and 7,410.22

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Solution

The fourth proportional to 13,378.68, 18,462.97 and 7,410.22 is: 10,226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.68 : 18,462.97 = 7,410.22 : x
  2. Step 2: Convert to fraction form
    13,378.68/18,462.97 = 7,410.22/x
  3. Step 3: Cross multiply
    13,378.68x = 18,462.97 × 7,410.22
  4. Step 4: Simplify right side
    13,378.68x = 136,814,669.55
  5. Step 5: Solve for x
    x = 136,814,669.55/13,378.68
  6. Step 6: Final answer
    x = 10,226.32

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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.