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Finding the Fourth Proportional to 13,407.46, 18,501.48 and 7,438.78

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Solution

The fourth proportional to 13,407.46, 18,501.48 and 7,438.78 is: 10,265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.46 : 18,501.48 = 7,438.78 : x
  2. Step 2: Convert to fraction form
    13,407.46/18,501.48 = 7,438.78/x
  3. Step 3: Cross multiply
    13,407.46x = 18,501.48 × 7,438.78
  4. Step 4: Simplify right side
    13,407.46x = 137,628,439.39
  5. Step 5: Solve for x
    x = 137,628,439.39/13,407.46
  6. Step 6: Final answer
    x = 10,265.06

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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.